Do you think it'll ever be possible to warp space to the point we could, say, crunch up 20 light years of distance to X and reach that distance in X space of time rather than however long 20 light years would take to cross?
I am going to add a bit to this question along with Zack's answer.
What you are saying is allowed by Einstien's theory of General relativity.
Relativity gives rise to a structure of causality. There are somethings called light cones and particles or say a ship has to travel through it to keep causality intact. The track that the particles travels is called its worldline. Look at the picture below for an illustration.
If you look at the plane, that is the present moment in time, the cone beneath it is the past and the one above it is the future. A particle that has mass has to have a worldline(travel) inside this cone.
Now light to has a worldline, and its the straight 2 straight lines that make up the light cone. I hope you have followed me so far, because if you understand this, the rest is easy.
Now anything that is traveling at the speed of light, will be traveling on that straight line, Einstien tells us that nothing can travel outside of the light cone. Which is commonly stated as nothing can travel faster than the speed of light.
Now the last part is not strictly true. Because what you can do is tilt the the light cone so that it makes a 45 degrees angle (just an example) with the plane. An illustration is below.
So you can see how the light cone above the surface (future light cone) is tilted. Now compare the worldline of light in the previous light cone to this one. If you travel through the tilted light cone, your worldline will be outside of the light cone in the first image but inside the 2nd one. This means that you are traveling faster than the speed of light but in inside the light cone.
Now imagine a space-ship surrounded by a bubble. This bubble is wrapping spacetime in such a manner that the lightcone inside the bubble is tilted, but the lightcone outside of the bubble is not affected. So because of wrapping of space-time, you can travel faster than the speed of light.
This is allowed by General relativity and such geometry of space-time is described by something called the Alcubierre metric (looking it up if you want to go in more depth). Now the problem is, is it physically possible?
The answer is, as far as we know, sadly it isn't. The reason for this is, to have such a geometry, you need to have negative energy-matter for which there is no empirical evidence so far.
Hope this helps and I didn't up confusing you more