I'm not talking about the speed of the spaceship. If we can deform space-time we needn't any type of propulsion. And how can the travel affect to it's pilots? Can they survive?
The Alcubierre Warp Drive hasn't been proved theoretically impossible; although requiring an amount of energy equivalent to several solar masses appears to be one of the less difficult engineering challenges that would confront anyone attempting to build one.
the Alcubierre drive has problems far worse than the energy violations; you need to distribute the exotic matter in a space-like direction before you can ride over it.
Even if you could produce enough exotic matter, you will have to distribute it first by conventional travel. No amount of exotic matter will avoid this.
If you use exotic matter to stabilize some quantum foam wormhole to a macroscopic scale (and there is the big question of where the other end takes you, but lets assume for the sake of discussion that you always get the two ends nearby) you'll still have to move one of the ends by conventional travel to wherever you want to set up shop.
energy-condition-violating fields are allowed by thermodynamics law as long as creating them requires at least the same amount of entropy that they could take away from a black hole (just like Hawking radiation does).
We know this is also physically possible because squeezed vacuum has already been created experimentally for a single EM mode. You still would have to squeeze a gigantic range of the EM spectra (probably up to scales too small for normal materials to create) to localize enough dark energy to stabilize one of these 28th century toys