Yes, of course they can change.
The artificial gravity component counteracting the perceived inertial acceleration has to change strength and direction to counteract the momentary acceleration.
Simplified something like this:
View attachment 1669
The person in the ship feels no perceived acceleration, but accelerates with the ship. Total perceived acceleration relative to the ship is zero (except the normal 1 G gravity).
If you can (magically) make artificial gravity, you can use that gravity to counteract perceived inertial acceleration, no additional magic needed.