I've read where theoretical physicists imagine FTL to be accomplished in exactly that way.
Here is another secret.
Einstein was right. To move matter faster than the speed of light requires an unfathomable amount of energy.
The only way to go faster is for you to have no mass. To not be 'material'. Which , coincidentally, is in the Bible as well. It may even explain why we see those glowing orbs that zip around the sky violating the laws of physics. Maybe they aren't 'material', don't have 'mass'.