If you're talking about the historical Jesus and what we can know of the man himself that's an academic issue. What matters is that while a historical figure in history he was also the incarnation of the Word or Logos of God as described in the gospel of John. How that can be is a mystery but the doctrine of the Trinity is an attempt at trying to explain it.
As for his supernatural/paranormal capabilities, I think it's limiting to suggest that no such things are even possible at all unless proven beyond all doubt. Some of the things he is said to have done others to some degree have been claimed to be able to do as well. We can assume this nature of power derives in some way from God and is something that is beyond our very limited scientific understanding. Our lack of understanding is no barrier to something that can still happen regardless.
As for his supernatural/paranormal capabilities, I think it's limiting to suggest that no such things are even possible at all unless proven beyond all doubt. Some of the things he is said to have done others to some degree have been claimed to be able to do as well. We can assume this nature of power derives in some way from God and is something that is beyond our very limited scientific understanding. Our lack of understanding is no barrier to something that can still happen regardless.