In normal physics, nothing can move faster than the speed of light. Einstein’s theory of relativity forbids it. In normal space any object approaching the speed of light will increase in mass exponentially, and require an exponential increase in the amount of power needed to propel it forward.
Warp drives are the second and more appealing option. A ship can’t move through space faster than the speed of light. But with enough energy, space itself can move faster than the speed of light. Known for the Mexican physicist Michael Alcubierre who originally developed the idea in the 1990’s, an Alcubierre warp drive would create a bubble of energy behind the ship and a lack of energy in front of the ship, like a giant cosmic wave a space ship could surf. That particular section of space can travel faster than the speed of light in the surrounding space, and anything on or in that bubble will accelerate with it.