No, NASA Did Not Accidentally Invent Warp Drive
http://www.forbes.com/sites/ethansiegel/2015/05/04/no-nasa-did-not-accidentally-invent-warp-drive/
One other important question would be, will they be able to deflect cosmic radiation and particles to protect the crew much as the Earth's magnetic field protects organisms on the surface?
Exposure to the harshness of space will be a huge issue for anyone who is crew on one of these ships headed for Heaven knows where.