If your device works by altering space/time, then yes.
Maybe the devices you refer to are artificial gravity generators. Maybe they work by altering space/time, since that is how gravity does what it does..
https://physics.stackexchange.com/questions/116249/does-gravity-actually-contract-space-time
Usually artificial gravity is handwaved in the interest of telling the story and having your actors all seated on the bridge with a minimum of special effects. But if you want to get into the weeds, altering the local curvature of space/time would be a fine way to get artificial gravity as well as repel or deflect objects.
If you are in a solar system you are feeling the effects of gravity from the star if nothing else. You could propel yourself by repelling the star. The start will not notice but you will be thrown in the opposite direction. If there are closer local gravity wells from planets etc you could throw yourself away from those.
It gets trickier in interstellar space because gravitational bodies are few and far between. That could make for a fine story - your space travelers must slingshot around a solar system, gathering speed for the interstellar trip. They have no brakes until they are again in the vicinity of a gravitational mass.
The Alcubierre drive is a different method to bend space time and propel a space craft. This method can achieve FTL travel without breaking physics. https://en.wikipedia.org/wiki/Alcubierre_drive and it requires a local bending of spacetime. If your device bends spacetime you could use it to make an Alcubierre drive, and that would also let you read up on more specifics on how that would be achieved if that interests you. There is a lot right here on the WB stack. Here is a question from this stack on subluminal travel using an Alcubierre drive. Alcubierre Drive without FTL?