Could our current physics framework accomodate magic?

I feel like my question essentially boils down to "could there be another fundamental force apart from the current 4 that we haven't detected?"

Thinking of a system of magic like the Force in Star Wars or similar - essentially a forcefield that interacts through something else than the current 4 fundamental forces.

Why some humans would be able to unexplainably mentally manipulate it is secondary. Possibly extremely weekly interacting to explain the current lack of evidence.

(Mandatory I do not actually believe in magic, just wonder whether our current understanding of physics specifically forbids it, through something else than absence of evidence)