No , you ' ll always only see it where it was 1000 years ago since the light can ' t catch up with itself . For clarity , let ' s go with the following scenarioSomebody is slowly walking around you at a fixed distance . Every second , he throws a new ball at you . If he doesn ' t vary his throws , will two balls from different angles ever hit you at the same time ? EDIT For your adjusted scenario , the guy is now slowly walking towards you . Same deal though , no two balls will hit you at the same time unless the guy sprints at you as fast as the balls are going . To translate this back to your astronomical scenario , the galaxy would have to move towards us at the speed of light . This can obviously not happen with the laws of physics being the way they are .