I’ve heard about such hypothesis.
I have no idea whether to believe it or not.
I mean in one of the official verses (“official” = which was approved by the Early Christian Church; anyway, I personally don’t care what the church approved or if they ever approve of something) of the Bible, it says that Jesus did many things which were not written in this book or something like that and it mentions that he did LOTS (Tremendous number) of things which were not recorded.
We can say that it was possible that he visited or even stayed in India.
I mean, Egypt was a clear stop for him.
It’s not like he stayed only in Israel.
However, Egypt was close and governed by Rome too, plus there were Jewish communities there (I know that some Jews reached India too, but Idk when).