If the distance between the earth and these stars can change, then we can change the distance between the earth and these stars.
I'd suggest looking into Alcubierre Warp Drive, cool story on why the guy came up with it and shows how to wrap spacetime around a spaceship to make it go faster than light.
The ship wouldn't go faster than light because it wouldn't move at all, the spacetime around it would.
The channel below has quite a few other videos on the subject. I love it.