A fighter with a human can only pull so many Gs so a drone fighter will always outmaneuver a manned fighter of the same generation, probably outgun it too now you can pack more missiles where the body used to be.
Theoretically, yes, but someone has to actually design and build a drone capable of doing that first. The F22/F35 are flagships fighter jets so they're built to be far more performant than drones have been so far because before modern AI, a fully automated fighter jet wingman was considered impractical.
Making drones like that is only worth it if an adversary has something worth destroying that can't be done with cheaper hardware like cruise missiles.
They already have drone craft that are actually based on the space shuttle platform that are probably doing things that would be impossible with a human inside, like the x37 orbiting the earth for two and a half years. Their exact capabilities and missions are classified though. These are also just the craft that have been revealed to the public, who knows the true capabilities of whats been built and what exactly is on the table in the near future.
Making drones like that is only worth it if an adversary has something worth destroying that can't be done with cheaper hardware like cruise missiles.