Yes, there are loopholes in the physics that might allow faster than light (FTL) travel, but nobody really knows. The speed of light as a limit is not a consequence of relativity, it's a postulate that limits how the theory could be developed. The theory doesn't actually forbid FTL, it just works out the consequences of assuming that it IS forbidden.
It certainly seems to be true on the basis of current knowledge that the speed of light is constant for all observers and is the cosmic speed limit, but there are known quantum effects that seem to require instantaneous transfers of information. Despite their great successes, quantum mechanics and general relativity remain fundamentally inconsistent, they can't both be right. Physicists wouldn't put it that way, they'd say they're incomplete, but it amounts to the same thing. There's at least one more layer of reality science hasn't penetrated yet.
Personally, I incline to the view, on the basis of no evidence whatsoever, I just find it emotionally satisfying, that there are many more layers, reality is fractal in the sense that it'll show the same level of complexity no matter at what scale we examine it.