The Alcubierre drive gets around this by bending the spacetime around a craft so that portion of space is moving and not the craft through space. And beyond that, traversable wormholes aren’t completely ruled out yet
However, to manipulate spacetime like that, we'd have to control massive quantities of an never observed type of energy. Like, on the order of the mass of the galaxy, or at least solar masses. And constructing a wormhole between A and B will still take longer than light travels between the endpoints, so I'm not exactly holding my breath.
The Alcubierre drive (assuming it's feasible) will still violate causality though, and the self-consistency principle does not apply, so I'm convinced that's a bust.