Nope, the signals will attenuate into noise pretty quickly. LOL, unless they’re using a quasar to communicate.

I feel like people usually miss this bit: Electromagnetic signals, light, etc., decrease by the inverse square law. Here’s a pic that illustrates better than I can write it out. tldr: The signal strength drops fast.

After a very short distance, cosmically speaking, the signal becomes indistinguishable from universal background radiation and no magic science fiction can filter out a clean copy.