[gus_massa]

Space-time is a single entity, so it's not possible to distort the time without distorting the time. For example, if some astronauts are traveling in another rocket with a constant relative velocity (< c) they would see same of the original space distortion as a time distortion. And if they go fast enough and in the correct direction, they would see that the "faster than light ship" is traveling backward in time (in their time system, the arrival day will be before the departure day).

I don't know enough special relativity to do the calculations, but if this device is constructible I would expect to have huge modifications in the time coordinate. Just in case, say goodbye to everyone before leaving.