Based on most hypothesis and conclusions, the universe is recognize that it is expanding at the speed of light (or something which is close to it), one would has to travel about 13.8 Billion years at light speed just to get as far as we can currently see with the Hubble. When one reaches there, one would probably see another 13.8 Billion Light Years out, with a more dim red galaxies. neverending

Besides, humans cannot end something that is nothing in the first place. There is no way to end something that is nothing, hence it is named universe/outer space/space. If one remove space what one will have is just more space in the place where the old space was, thus more space is created