Although not technically violating any known laws of physics, there might be a few minor engineering difficulties involved in building one. Elon Musk once said it would require several Jupiter masses of equivalent energy just to power it. That’s just one. There’s also pronouncing it.
My difficulty with the theories on warp drive is the effects of inertia. If the laws of inertia exist in those moments when the relative world around you moves faster than the speed of light, that has to be understood. Those occupying such vehicles should be smashed into paper thin sheets and all the electronics into silver/silicon dust. In the movie, “The Fly,” the person went to the receiving destination, reassembled as half human and half fly. That would be a terrible Alcubierre warp of time.
There needs to be further research because the future of mankind may depend upon it.