Scholars seem to think that illiteracy rates in the Jewish world of the first century was about 98 percent.
As a historical fact, it seems highly unlikely that a child born to peasants, in a tiny village in the obscure backwater province of Galilee would have went to school or been thoroughly trained to read and write. He purportedly trained to be a woodworker.
Anything is possible, we will never know with any certainty. To me, it does not matter if he was literate or not. He obviously had a message and a charisma that appealed to people. I merely was pointing out that a person of such lowly standing in the eyes of the Roman authorities would not have inspired them to keep and maintain written records about Jesus