Pressure sensors connect to tires to do their job but usually stay with wheels. While not common it's certainly both possible and legal (and sometimes happens) to switch wheels to a different car.
It's fairly common (at least in Europe) for people to have two sets of wheels, on with summer tires and one with winter tires.
Certainly, but keep in mind no one suggested it was either impossible or illegal.
The suggestion above is to merely take note, as it is unusual.