G-force, which is the force exerted on an object in motion when direction or speed of that motion changes, or the force exerted by gravitational pull (hence the name and unit of measurement), exists with or without the presence of gravity. So your answer is yes.
Now, take a look at a starship, maybe one named Enterprise, with a captain and crew out exploring new... Okay, the Star Trek thing. Traveling at or above the speed of light, coming to a full stop. The forces on the bodies in the ship would turn them into stains on the walls, if the walls even held together. The creators of the series (and most SciFi writers prior to that point) invented a way around this. In the case of Star Trek it is the inertial dampener, a mysterious device that overcomes this force so faster than light travel is actually survivable.
Fortunately, technology has adapted to g-forces in fighters as well as current spacecraft, so that the force is survivable. Your pilots would surely be taught how and would be using the proper equipment. So it depends on what you need for your story. Have them feel it, ignore it completely or find a way for the safety equipment to fail if you need them to black (or red) out or even die.
Jeff