FTL travel would be time travel. If you exceed the speed of light, you exceed the speed of causality. If you travel 1000x the speed of light towards a distant destination, then you will also arrive there when light emitted from that object was from a time before when you observed it at your departure. I don’t think FTL or even a large portion of light speed will ever be possible. Even at 99% the speed of light, in the forward direction, everything will be blue-shifted to an enormous degree, possibly to the point that even the cosmic background radiation becomes essentially gamma rays blowing holes through you and your spacecraft. God help you if you ran into a small particle or even a gentle solar wind, as the front of your ship vaporizes in a nuclear explosion.