Nothing can move faster than the speed of light. This is a fundamental law of Physics.
Quick layman's definition of the speed of light limits:
The speed of light, (or the speed of a photon) in a near-perfect vacuum is exactly 186,282 miles per second. We perceive photons (light) traveling at this speed because they are massless (the have no weight).
Every particle in our universe (including photons) move through the Higgs field. As a result of this interaction, particles acquire their mass. Different particles interact with the Higgs field with different strengths, which is why some particles are heavier (have more mass) than others. Photons move through, but do not interact at all with the Higgs field. Thus attaining no mass.
Since photons don’t interact with the Higgs field, it means they aren’t bound by any speed limit. They’re free to move at the fastest possible speed – their own “light” speed. Why isn’t the speed of light slower or faster than 186,282 miles per second? It’s because that exact speed is a fundamental constant of our universe.
Wondering why light doesn’t travel at a different speed is like wondering why gravity isn’t reversed or what it would be like if our universe only had 2 spatial dimensions instead of 3 (4 if you include time). Those constants, along with the speed of light, were set in place when our universe was created at the moment of the big bang.
So photons (light) is able to travel at light speed.
Well? This is all fine and dandy... What about the Jedi?
Particles that have mass require energy to accelerate them. The closer to the speed of light you get a particle, the more energy is required to go faster. This is because the particles themselves get more massive in proportion to the increased velocity. In short, the faster you go, the heavier you get.
Thanks to this, if you wanted to accelerate a single electron to light speed, you would need an infinite amount energy due to the electron becoming infinitely heavy. There isn’t enough energy in the entire universe to propel just a single electron to the speed of light. It's a catch 22.
If this is the case for a single electron, you can begin to see the problem with a Jedi moving faster than the speed of light. Let alone moving AT the speed of light itself.