Certainly there's no reason to think that we'll ever have the ability to travel faster than light.
Certainly pushing a massive object to light speed and beyond is impossible, but I don't think something like wormhole travel is, given the ability to harness enough energy. Not likely in the near future I would guess, but 500 or 1k or 10k years from now who knows?
I'm uncertain of the feasibility of something like the Alubcierre (warp) drive as we know it, I understand it requires far more energy than it would ever be possible to generate relativistic speeds. If it worked. Which we don't know and may very well not.