I mean… Not really. Paradoxes don’t actually exist. Causality itself would fail to work if literally inconsistent things could be magically made consistent. It’s fundamentally not how the universe works. Literally. What you ask for could exist, but not in a universe that behaves like ours. It is fundamentally incompatible with what is observed.
Yes, completely and fundamentally incompatible. Even if God could start up a billion universes with a billion rules … ours doesn’t work like that. It’s like a game character saying, “yea well the devs could totally make this RPG a FPS game!”
Is the possibility true? Yes. Though for no reason the game character will ever comprehend nor be able to ever observe. It is fundamentally a pointless point that adds no new information to the equation.