If you're actually curious, or someone else reading this is, you never can get a rocket, or anything with mass, to the speed of light either, not just faster than it, but you can get arbitrarily close. However, you never notice anything stopping you going faster than your current speed, there's no point where your rockets stop working or anything, rather, time and space stretch and squeeze such that neither you nor anybody else see you going faster than light. If you have a magic rocket that somehow has infinite fuel and can fire forever, you can actually get anywhere as fast as you want, from your perspective.

Alpha centauri is famously about 4 light years away, but you can get there in 2 seconds, from your perspective, if you go fast enough. But, everyone on earth will see slightly over that roughly 4 years go by in the time that for you is just 2 seconds. (You'll see them move slowly too at first, since they're moving relative to you just as fast as your ship is moving to them, but when you slow down, you'll see them seem to speed up until you'll have seen them do 4 years worth of stuff by the time you stop). Meanwhile on your ship, you don't see yourself crossing that 4 light year distance in less than the allowed time either, because space itself is squished kinda, so that the distance to alpha centauri is shortened to the point that if you're getting there in 2 seconds, it's now less than 2 light seconds away, from your perspective, and you're not moving faster than light to cross that distance in that time. People outside will also see your ship compressed like this too.

This isn't just a regular optical illusion either, space and time really are different for the people on and off the ship (and indeed very slightly different for everyone anywhere). Nobody has the "correct" view of the universe, because everyone's perspective is equally valid.