A worm hole might do it..
That would depend on whether light bends, how fast the "universe is expanding" and whether that expansion alters the speed of light, and whether the Milky Way entered a "worm hole" somewhere along the way.
Anyway, I've also wondered if there was a reflective surface - a mirror - on a distant (say 1,000 light years away) planet that was perfectly angled to reflect the earth and we could focus on the reflections from that mirror, could we "see" the earth as it was 2,000 years ago?
I wonder about a lot of wacky stuff.
Anyway, we really have no idea how fast we are moving when you factor in the rotation of the earth, the orbit of earth around the sun, the movement of the sun within the Milky Way, and the movement of the Milky Way within the (known) universe. Heck, maybe the universe is moving, too. When you have 15 minutes to kill, check out that Asimov short story I linked in my previous post to you.