If you could manipulate the mass of a system, could you use that for propulsion in space?

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Like,imagine if I had a way to make something grow in mass for a split second, and I moved it forward while it had more mass,and then moved it backwards when it had less mass. If I can keep doing that, a force arises even if I don't need any propellant,right?

Is that possible to do? Is there way to make them ass of a system oscillate briefly? Could that be something that would make it easier for us to go to Mars?