Inertial dampening systems, that allow for high G maneuvering, would seem to be suited to being tuned to have that sort of effect.
"Artificial Gravity" systems, ones capable of adding G without motion (so down is down, without having to spin the ship to make out = down) would be able to ADD gravity to a ship that has none.
"Inertial Dampeners" or "Gravity Shielding" could reduce Gs, either from motion or mass gravity, but not create it.
At a certain tech level, I'd assume that ships would have both, some ships could even vary G deck by deck, or even compartment by compartment, if the tech itself is built into the decking or bulkheads.
Neither exist in the real world, so it crosses the line into magic-future tech so really it can do as you want.
On the limits side, I have been in games wherre the AG system worked off the drive, which could not be turned on while on the surface of a planet, as the interaction of the drive field and the planetary gravity field, at that proximity, would blow the drive in a spectacular manner. . .since it's magic tech, it can work as you choose, or not work as you choose, as GM.