Making yourself move by fake gravity

Thoughts I had during a boring afternoon in work: If you can
manipulate gravity, does that automatically give you an inertia-less
drive? I'm kind of imagining creating a gravity well in front of your
spaceship and falling into it, but wouldn't that be like pulling
yourself along by your shoelaces?

Obviously you could still use it to stick yourself to the floor and
avoid the disadvantages of freefall, stop smashing your passengers at
high acceleration, deflect space debris, or create very small black
holes in your enemies' stomachs :)