To be fair about what has been in progress, we have the theoretical possibility of traveling through wormholes, which would allow "traveling" faster than light (well not really going faster than C but simply distorting spacetime itself to reach a point that would require traveling faster than C if we were to travel without distortion) yet there are many practical problems around it.

Of course this doesn't mean that some advanced civilization haven't figured out how to practically use it, which I'm sure we'll also discover (in distant future) if we aren't killed by something else (most likely ourselves).