Space can travel faster than light. The furthest galaxies move away from us faster than light because of the expansion of the universe. Eventually trillions of years into the future all the galaxies will travel away from us faster than light - disappear beyond the event horizon - so we can only see the stars in our galaxy.
The thing is nothing can travel faster than light within space. But what if space itself can move through space? That's the idea of the fictional warp drive, and the attempts to design real warp drives.
Unfortunately all attempts at real world warp drive designs seem to require "negative matter" and also huge amounts of ordinary energy.
But - that doesn't mean absolutely it is impossible. Our physics is incomplete, we don't know how to combine quantum mechanics with general relativity for instance.
Just according to the current state of knowledge, no-one can see a way to do it.