EDIT: Let’s cool it with the downvotes, dudes. We’re not out to cut funding to your black hole detection chamber or revoke the degrees of chiropractors just because a couple of us don’t believe in it, okay? Chill out, participate with the prompt and continue with having a nice day. I’m sure almost everybody has something to add.
I don’t think that we currently know enough about physics to say for sure that faster than light travel is impossible.
I think it’s likely that there are still scientific breakthroughs to be discovered that will make currently impossible things possible.
You might be misunderstanding the problem, though. “Traveling” is relative. It absolutely is not impossible to arrive somewhere faster than light traveling in “normal” 3D space would. For example, 3D space itself is a medium, not an absolute thing. A medium can always be manipulated.
It also depends on how you are measuring time. From the perspective of the light, all travel is nearly instantaneous. It’s only from our perspective that it appears to take a long time.
We haven’t seen anything in nature violate it nor in any lab.