We see not one but many angels, administering to Jesus , for instance after the temptations in the wilderness:
Then the devil left him, and suddenly angels came and waited on him. - (Mtt 4: 11)
But we see only one angel giving comapany to him at the Garden of Gethsemane:
He withdrew about a stone’s throw beyond them, knelt down and prayed, “Father, if you are willing, take this cup from me; yet not my will, but yours be done.” An angel from heaven appeared to him and strengthened him. - (Lk 22: 41-43).
This angel is named as Chamuel in the traditions. "This angel performed a vital ministry for Christ just prior to His going to the cross to die for the sins of humankind," writes Ron Rhodes in his book Angels Among Us: Separating Fact from Fiction. (Courtesy: Learn Religions.com)
We also see that Jesus was in a position to seek physical protection by the angels, when he was being arrested and taken away by the soldiers:
With that, one of Jesus’ companions reached for his sword, drew it out and struck the servant of the high priest, cutting off his ear. “Put your sword back in its place,” Jesus said to him, “for all who draw the sword will die by the sword. Do you think I cannot call on my Father, and he will at once put at my disposal more than twelve legions of angels? - (Mat 26:51-53).
So, the scriptures do not as such say that Jesus had a Guardian Angel attached to him, but being Son of God, he had the services of many angels at “short notice”.
PS: I am not aware if any Catholic Theologian or Mystic has made an authentic statement on the subject.