Even if you were to instantly travel to another spot in the universe, you'd be looking at the Earth a long, long time ago. So no, theoretically it still wouldn't work.
This is solely based on your individual light perception. Even if you somehow manipulate space/time from YOUR perspective, you can't change the actual physics of the working universe.
Okay so pretend that I am immortal and will live forever. And I wait the requisite time until I would have sent the probe. THEN could I see it?