Answer:
In a word, no.
Warp drives, wormholes, traveling in other dimentions ...they are all just science fiction conjectures, without a shred of evidence.
The fastest spaceship drive would use pulsed nuclear explosions, a series of, in effect, small H-bombs. If some nation were to spend trillions of dollars developing such a ship (if it is even possible), and if you headed off to the very closest star, Proxima Centauri, you would still need to travel for nearly 100 years, one way.
Ah... suspended animation, you say. But that, too, is just science fiction conjecture.
What country, or group of countries, could ever afford such a costly, uncertain experiment, when there would be no commercial purpose? And what person, or family, would ever put themselves in the 'hands' of a computer-controlled super-complex propulsion system and life-support system that would have to function perfectly, for 100 years, on its maiden voyage?
No ...interstellar travel will remain solely in the realm of science fiction. And as science fiction, it will remain very entertaining.