Traveling through deep space is not possible -as we understand it now-. But who says that physics and physical laws as we understand em now are the final stage?

2 thousand years ago the peak of traveling was a horse-drawn carriage.

Now we have all that incredible stuff like airplanes, levitating trains and rockets which can carry human crew at 40 000km/h through outer space.

And 2000 years is nothing in the big scheme of (universe) things.

The possibilities of space travel may exist, we are just not capable of thinking on such level. Yet.