Not ever gonna happen..... warp speed is not possible. Not ever.
Never say never. What is needed is a breakthrough that surpasses conventional physics. Whether or not that is feasible at this point in time is debatable, and likely not possible, but that does not preclude the possibility that such a breakthrough could happen.
To say “Not Ever” is defeatist, IMO.
This from NASA last month about the nearest inhabitable planet...."The new found object, dubbed Kepler-186f, circles a red dwarf star 500 light-years from Earth in the constellation Cygnus. A light-year is almost 6 trillion miles.". So even if we were able to travel near light speed it would take at least 20 human generations to get there as a colony. Space travel to a new world is fantasy. Meeting new species is way past fantasy.
On the other hand, finding civilized life in other worlds via a SETI type operation is distinct possibility. But again, any message we receive would have been at least 500+ years at receipt.
The warp engines create a warp bubble around the ship that is using simple impulse. The warp bubble is what travels faster than light. It’s a theory.