He existed alright but we have zero idea if he claimed to be the son of God. That was added much later after his death.

Jesus could in fact be an algamation of various men at the time who led the religious/social movement that would eventually.

So even the “he said he was the son of God” is a myth and legend.

But there definitely was a dude who was alive back then who had a LOT of complaints concerning the church and the government.