Oh yeah, and you'd also be annihilated as you were completely turned to energy as you tried to go through it of course. But you'd sure fire a hell of a lot of randomized high energy particles out the other side after the amount of time it would have taken light to get there.
Not my preferred kind of "travel", I'll just freeze myself and go the slow way or something.
There really is no plausible theory for FTL of any kind. Maybe there will be in the future. Personally I'd put everything I have on the speed of light being an absolute limit to causality.
Look at it this way: if FTL travel were possible we probably wouldn't exist. Whoever came first would probably colonize the Universe and sterilize it of competition. So there's that.
FTL doesn't necessarily mean infinite/instant travel. Also the scenario you propose could be part of the Great Filter, and we just haven't been culled yet. Or FTL civilizations tend to get so large they fracture & turn to in-fighting or encounter other resource bottlenecks that limit exponential expansion.
Or C is the law and going FTL spawns a cosmic traffic cop like the meatball head things in Rick & Morty.
Or FTL is simply impossible, but perhaps not constant and various factors impact the local C