It might be thought that special relativity provides a short negative answer to this question. In actual fact, there are many trivial ways in which things can be going faster than light (FTL) in a sense, and there may be other more genuine possibilities. On the other hand, there are also good reasons to believe that real FTL travel and communication will always be unachievable. This article is not a full answer to the question (which no doubt will continue to be discussed in the newsgroups for the foreseeable future), but it does cover some of the more common points that are repeatedly made.
That was the general idea about faster-than-light travel for decades, till 1994, when physicist Dr. Miguel Alcubierre came up with hypothetical “exotic matter“, that made the idea theoretically possible within the confines of Einstein’s general theory of relativity.
It is sometimes objected that “they said no-one would ever go faster than sound and they were wrong. Now they say no-one will ever go faster than light…” Actually, it is probably not true that anybody said it was impossible to go faster than sound. It was known that rifle bullets go faster than sound long before an aircraft did.
The truth is that some engineers once said that controlled flight faster than sound might be impossible, and they were wrong about that. FTL travel is a very different matter. It was inevitable that someone would one day succeed in flying faster than sound, once technology got around the problems. It is not inevitable that one-day technology will enable us to go faster than light. Relativity has a lot to say about this. If FTL travel or FTL communication were possible, then causality would probably be violated and some very strange situations would arise.