Let's assume that a universe has at some point in its history started with all matter at the same point P. There was a huge explosion, and things started moving directly away from point P, in different directions and with various velocities. Keeping it simple, let's ignore gravity for now, and just say that everything just keeps moving in its original speed and direction.
Suppose an astronomer has for a while tracked the path of galaxies, and thinks that there is one that is special galaxy that didn't go anywhere. He wants to know if he lives in the one galaxy that did not move in the blast, and finds that indeed, all other galaxies move directly away from his own, at velocities relative to their distance.
Does that mean that indeed, his own galaxy is the special one?