It's not just that there's no evidence of faster-than-light travel - but we have over a hundred years of evidence in the opposite direction.

All these various "drives" are not just theoretical, they require so much mass and energy as to be forever impossible. I'm not talking mass like "the weight of the planet Earth" - I'm talking mass like "every single item in the known universe".

https://en.wikipedia.org/wiki/Alcubierre_drive#Difficulties

I've been reading SF for over 50 years now. I have a great deal of sympathy with these ideas. But the idea that the universe is much as it appears to be is hard to beat, particularly since we haven't really seen any cracks in the system in the last century at all, except the gap between quantum mechanics (at very small sizes) and relativity (at very large sizes), which continues to be our guiding problem in physics generations later, but offers no obvious hope of faster-than-light drive as both QM and relativity require the speed of light.