If faster than light travel existed, then a species would possibly be able to colonize anything in less than an instant because they’d be traveling backwards in time.

However, it might be possible to change locations faster than light by cutting through spacetime using a wormhole.

Yet, in support of your argument, I think I also remember that perhaps there are ways to warp spacetime around a ship so that locally, the ship is not traveling faster than light, but the warping of spacetime is. I don’t understand this concept well enough to have a confident opinion on it tho. For example, is it possible to warp spacetime faster than light without violating general relativity?