There was a manuscript that began circulating in the 2nd century written by someone who called himself "Thomas the Israelite," claiming that Jesus was able to do miracles as a child. The manuscript was later given the title, "Infancy Gospel of Thomas", and you can see a full English translation here.
The first story in this manuscript tells of Jesus' creation of sparrows from clay.
This child Jesus, when five years old, was playing in the ford of a mountain stream; and He collected the flowing waters into pools, and made them clear immediately, and by a word alone He made them obey Him. And having made some soft clay, He fashioned out of it twelve sparrows. And it was the Sabbath when He did these things. And there were also many other children playing with Him. And a certain Jew, seeing what Jesus was doing, playing on the Sabbath, went off immediately, and said to his father Joseph: Behold, thy son is at the stream, and has taken clay, and made of it twelve birds, and has profaned the Sabbath. And Joseph, coming to the place and seeing, cried out to Him, saying: Wherefore doest thou on the Sabbath what it is not lawful to do? And Jesus clapped His hands, and cried out to the sparrows, and said to them: Off you go! And the sparrows flew, and went off crying.
The Quran would later make a reference to this story.
Then will Allah say: "O Jesus the son of Mary! Recount My favour to thee and to thy mother. Behold! I strengthened thee with the holy spirit, so that thou didst speak to the people in childhood and in maturity. Behold! I taught thee the Book and Wisdom, the Law and the Gospel and behold! thou makest out of clay, as it were, the figure of a bird, by My leave, and thou breathest into it and it becometh a bird by My leave, and thou healest those born blind, and the lepers, by My leave. And behold! thou bringest forth the dead by My leave. And behold! I did restrain the Children of Israel from (violence to) thee when thou didst show them the clear Signs, and the unbelievers among them said: 'This is nothing but evident magic.'"
In another story in the Infancy Gospel of Thomas, a teacher named Zacchaeus attempts to teach Jesus the Greek alphabet.
And a certain teacher, Zacchaeus by name, was standing in a certain place, and heard Jesus thus speaking to his father; and he wondered exceedingly, that, being a child, he should speak in such a way. And a few days thereafter he came to Joseph, and said to him: Thou hast a sensible child, and he has some mind. Give him to me, then, that he may learn letters; and I shall teach him along with the letters all knowledge, both how to address all the elders, and to honour them as forefathers and fathers, and how to love those of his own age. And He said to him all the letters from the Alpha even to the Omega, clearly and with great exactness. And He looked upon the teacher Zacchaeus, and said to him: Thou who art ignorant of the nature of the Alpha, how canst thou teach others the Beta? Thou hypocrite! first, if thou knowest. teach the A, and then we shall believe thee about the B.
Most early Christians denied the authenticity of this work. For example, second century apologist Irenaeus of Lyons referred to the story about the alphabet in declaring the work spurious.
Besides the above [misrepresentations], they adduce an unspeakable number of apocryphal and spurious writings, which they themselves have forged, to bewilder the minds of foolish men, and of such as are ignorant of the Scriptures of truth. Among other things, they bring forward that false and wicked story which relates that our Lord, when He was a boy learning His letters, on the teacher saying to Him, as is usual, “Pronounce Alpha,” replied [as He was bid], “Alpha.” But when, again, the teacher bade Him say, “Beta,” the Lord replied, “Do thou first tell me what Alpha is, and then I will tell thee what Beta is.” This they expound as meaning that He alone knew the Unknown, which He revealed under its type Alpha.
The Infancy Gospel of Thomas concludes with the story of Jesus in the temple at age 12, taken from the Gospel of Luke.
So to answer your question, yes there was an early book claiming Jesus did miracles at a young age, but (A) it was written more than 100 years after he lived, and (B) it was not considered authentic even at the time. It is not likely that this book contains any authentic stories about Jesus that are not found in the canonical gospels.