No, you are confusing special and general relativity. In a flat spacetime your only chance at getting faster than light travel is by violating local Lorentz inv

No, you are confusing special and general relativity. In a flat spacetime your only chance at getting faster than light travel is by violating local Lorentz invariance. In general realtivity, you can essentially go faster than light in two different ways, either you win an honest race or you find a shortcut. The Alcubierre drive is of the second variety, so you do not get to create closed timelike curves ( the technical term for time travel), but you can still arrive at a distant point faster than a 'naive' measurement of the distance would suggest.