Not just FTL communication, but transfer of technology and other information through time.
Nobody has shown any ability to violate causality to date. That is, nobody has demonstrated any “effect” that happens before a “cause”.
Importantly, this matters with FTL anything. Say one half of an entangled pair was a considerable distance away, say 10 light seconds, from the other half. As of yet, there is no indication that “information” can be passed between the two faster than in 10 seconds. This doesn’t say that it can’t, just that nobody has been able to demonstrate it yet.