That makes for good science fiction, because Quantum Mechanics is so poorly understood by most people, but it’s in no way possible or implied by the theory. Any entangled channel of communication would appear to be random noise without a Classical channel of communication, which effectively limits entanglement to light speed.
The first answer gives a nice explanation in depth. https://physics.stackexchange.com/questions/203831/ftl-commu...
The key point is this:
Alice therefore still measures two overlapping bell curves, overall! Where are the interference patterns?! That is very simple: when Bob and Alice compare their measurements in the first case, Bob's 0-measurement can be used to "filter" Alice's patterns...
That comparison is what requires the Classical channel, and we’re back to light speed. If you try to use a Quantum channel to compare you just have two things to compare and a lot of noise.