Physicists around the world are busy cracking that enigma as we speak:
It's only a matter of time until our species hacks the code of the physical universe and creates FTL. I fully expect that our great grandchildren will live to see that breakthrough, provided we don't destroy ourselves first.
I think the great leap will come when we can mine and refine metals in space and build the very large ships we would need for deep space travel. Obviously we aren’t going to see anything approaching light speed in our lifetimes. Probably a few hundred years of expanding across our solar system with ships that can achieve maybe 10% of light speed.