There is a lot of misconception about two of the more arcane forms of proposed space travel: Warp Drives and Worm Holes. They work on the same principles but function in wholly different ways.
General Relativity explains that any mass or energy can bend space and time. Since there is energy everywhere space and time are already curved. We can there fore tweak with the curvature of space-time in different ways to produce different effects.
For example, Worm Holes are analogous to tunnels. When there is enough mass or energy concentrated at two points, the space-time bends to form a tunnel between the two locations.
This means that we can reach another point before light, not because we are faster, but because we have a lesser “distance” to travel. So for example if a wormhole were to connect earth to the moon, you could step into the wormhole and go to the moon, and then quickly get back. But since light had to travel a longer distance, your image on the moon might reach you when you came back to earth. You would literally be able to make a thousand virtual copies of yourself. However, wormholes are extremely unstable. Some equations predict that they will immediately collapse as soon as something passes through. Negative energy and negative matter will be needed to stabilize a wormhole. Mankind is still far away from producing and using antimatter at a large scale, so worm holes will remain, for the near future, a fantasy.
Warp Drives also use the same principle. However they only distort space and time around the traveler while keeping him in a “bubble” of normal space-time. Imagine a small toy car on a bed sheet. The car can only travel a few centimetres per second. But you want to reach the other end of the bedsheet quickly. So you scrunch up the sheet in front of the car, effectively reducing the distance it has to travel. Once the car has traversed the wrinkles, you stretch out the sheet again. In a sense a Warp Drive is a less extreme version of the Worm Hole. A worm hole is just like the portals in the game Portal: the distance between destinations is effectively zero. But in a warp drive, you still have to cover some distance. Consequently it is also easier to make. But where worm holes can facilitate inter-galactic travel, warp drives are only viable for interstellar journeys.