The good thing is that Mars is chock full of dormant lava tubes[1]. That provides a solution to the problem you propose assuming we figure out how to seal them and make them habitable for human life. It is an exceptionally difficult, but tractable problem. FTL travel however, is not tractable at all with our current tech and (lack of) understanding of physics.

[1] https://en.wikipedia.org/wiki/Martian_lava_tube