Building upon the questions from @States Time travel from stationary position? and @Travis Time travel from stationary position?, would it be possible to travel to other star systems within our galaxy by creating a time stasis field?
The concept would be that the stasis field would pause the occupants in time and space until a set external time frame expires with the intention of waiting for another star system to pass into the exact same location, and then travel to the local planets of that system once time is restored.
However, how long would it take for another system to pass into the same space that our system left? Or is space, in general, just too vast and the planets/stars too widely separated for the likelihood of ever coming into another star's proximity viable?
Assuming we have space travel capabilities that would allow for a trip of 1 AU to occur within a reasonable amount of time so resources on the craft would be sufficient to explore 2-3 planets before expiring (or a second stasis jump), would this form of travel work or does our galaxy move too quickly and away from us that we'd be stuck in the void between galaxies entirely?