Did Mary lay her hands on all the Apostles in the Upper Room to pour out the Holy Spirit?
The short answer is no.
Neither Scripture nor Sacred Tradition or the teaching magisterium of the Church tell us that Mary did such a thing. Not even private revelations agree with this.
Here is how it transpired according to Acts 2: 1-13:
1When the time for Pentecost was fulfilled, they were all in one place together. 2 And suddenly there came from the sky a noise like a strong driving wind,* and it filled the entire house in which they were. 3 Then there appeared to them tongues as of fire,* which parted and came to rest on each one of them. 4 And they were all filled with the holy Spirit and began to speak in different tongues,* as the Spirit enabled them to proclaim. 5 Now there were devout Jews from every nation under heaven staying in Jerusalem. 6 At this sound, they gathered in a large crowd, but they were confused because each one heard them speaking in his own language. 7 They were astounded, and in amazement they asked, “Are not all these people who are speaking Galileans? Then how does each of us hear them in his own native language? 9 We are Parthians, Medes, and Elamites, inhabitants of Mesopotamia, Judea and Cappadocia, Pontus and Asia, 10 Phrygia and Pamphylia, Egypt and the districts of Libya near Cyrene, as well as travelers from Rome, 11 both Jews and converts to Judaism, Cretans and Arabs, yet we hear them speaking in our own tongues of the mighty acts of God.” 12 They were all astounded and bewildered, and said to one another, “What does this mean?” 13 But others said, scoffing, “They have had too much new wine.”
The real problem with this question is that it implies that the Mother of Jesus had the episcopal dignity with the power of laying her hands on the Holy Apostles. In fact the Church refutes this notion when Pope St. John Paul II wrote his apostolic letter Ordinatio Sacerdotolis:
Wherefore, in order that all doubt may be removed regarding a matter of great importance, a matter which pertains to the Church's divine constitution itself, in virtue of my ministry of confirming the brethren (cf. Lk 22:32) I declare that the Church has no authority whatsoever to confer priestly ordination on women and that this judgment is to be definitively held by all the Church's faithful.
To further this notion that Mary did no such thing, let us remember that not everything that Christ said or did is in the Gospels, just as the Apostle St. John stated John 21: 24-25:
This is the disciple which testifieth of these things, and wrote these things: and we know that his testimony is true. And there are also many other things which Jesus did, the which, if they should be written every one, I suppose that even the world itself could not contain the books that should be written. Amen.
With this stated, let us see what Blessed Catherine Emmerich in her revelations says about Jesus anointing the Apostles Peter and John:
Then He instructed them upon the priesthood, the sacred unction, and the preparation of the Chrism and the Holy Oils. Three boxes, two with a mixture of balsam and oil, also some raw cotton, stood near the chalice case. They were so formed as to admit being placed one on the other. Jesus taught many secret things concerning them: how to mix the ointment, what parts of the body to anoint, and upon what occasions. I remember among other things Jesus' mentioning a certain case in which the Blessed Sacrament could not be administered. Perhaps it was something bearing reference to Extreme Unction, though I do not now know clearly. He spoke of different kinds of anointing, among them that of kings. He said that even wicked kings who were anointed, possessed a certain interior and mysterious power that was wanting to others. Then Jesus put some of the viscous ointment and oil into the empty box and mixed them together, but I cannot say whether it was at this moment or at the consecration of the bread and wine that the Lord blessed the oil.
After that I saw Jesus anointing Peter and John, on whose hands, at the institution of the Blessed Sacrament, He had poured the water that had flowed over His own, and who had drunk from the chalice in His hand.
From the center of the table, where He was standing, Jesus stepped a little to one side and imposed hands upon Peter and John, first on their shoulders and then on their head. During this action, they joined their hands and crossed their thumbs. As they bowed low before Him (and I am not sure that they did not kneel) the Lord anointed the thumb and forefinger of each of their hands with Chrism, and made the Sign of the Cross with it on their head.
He told them that this anointing would remain with them to the end of the world. James the Less, Andrew, James the Greater, and Bartholomew, were likewise consecrated. I saw too that the Lord twisted crosswise over Peter's breast the narrow scarf that he wore around his neck, but that on the others He drew it across the breast over the right shoulder and under the left arm. Still I do not remember clearly whether this took place at the institution of the Blessed Sacrament, or not till the anointing.
Then I saw—but how, I cannot say—that Jesus at this anointing communicated to the Apostles something essential, something supernatural. He told them also that after they should have received the Holy Ghost they were to consecrate bread and wine for the first time, and anoint the other Apostles. At these words of Jesus, I saw at a glance Peter and John, on the day of Pentecost and before the great Baptism, imposing hands upon the other Apostles, and eight days later upon several of the disciples. I saw also that John, after the Resurrection, gave the Most Blessed Sacrament to the Blessed Virgin for the first time. This event used to be commemorated by the Apostles as a feast. The Church no longer keeps it, but in the Church Triumphant I see the day still celebrated. In the first days after Pentecost, I saw only Peter and John consecrating the Most Blessed Sacrament; but later the others also consecrated.
Typical Catholic art, whether in paintings or icons show the Virgin Mary receiving the Holy Spirit at the same time of the Apostles. This would naturally be a greater outpouring of graces added to to innumerable graces that Mary had already received.
While the Holy Apostles were generally ignorant of the Holy Ghost, the Immaculate Mary knew Him intimately. Mary had already experienced the descent of the Holy Ghost at her Immaculate Conception since at that moment she was not merely preserved from all sin, but also filled with grace and the Holy Spirit. She was perfectly possessed by the Holy Ghost from the first moment of her existence. This is why Saint Francis of Assisi and other great saints have called Mary “Spouse of the Holy Spirit.” The analogy of matrimony is the strongest and best way to signify a union of two persons in their mission. Although not carnally married, the Holy Spirit and Mary are united perfectly in their mission. She never sins. She only desires the will of the Holy Spirit.
Moreover, the Holy Ghost overshadowed her in a powerful way at the virginal conception of Christ our Lord. Her whole life, then, was a communication with the Holy Ghost and she profoundly understood the mystery of the Holy Trinity – far better than the Council Fathers of Nicea, Constantinople, Ephesus, and Chalcedon. She is the greatest theologian.
In the nine days between the Ascension and Pentecost (this was the first novena), Mary was praying that the Apostles might come to know Him whom she already knew. While the Apostles prayed and waited without knowledge, Mary prayed with knowledge of the Paraclete.
This was the birthday of the Catholic Church, which is the mystical Body of Christ. As the Holy Ghost overshadowed the Blessed Virgin at the Annunciation and conceived Christ the Head in the womb of Mary, so now the Holy Ghost mystically conceives the Body of Christ. The Litany of Loretto refers to Our Lady as the “Mother of the Church” and this is precisely why. The Holy Spirit inspired Saint Luke to include these details for our benefit. There is a textual parallel between the the union of Mary and the Holy Ghost at the Incarnation of Christ and Mary and the Holy Ghost at the Birth of the Church on Pentecost.
Could God the Son have become incarnate without Mary? Yes.
Could God the Son have performed His first miracle at Cana without Mary? Yes.
Could God the Son have died on the cross for sins without Mary standing below in her desolation? Yes.
Could God the Son have sent the Holy Ghost on Pentecost without the present of Mary? Yes.
Yet God chose to accomplish these great redemptive mysteries with Mary. It was His free choice. He did not have to do things this way, but He did.
If God desires to include her, who are we to exclude her? - The Spirit and the Bride: Mary’s Role at Pentecost
Priests may administer the sacrament of confirmation with the permission of their local ordinary. It is quite common to see priests confirm adults at the Easter Vigil. Thus the sacrament of confirmation although reserved to bishops may be delegated to priests.