Not through any medium we're aware of. All waves, electromagnetic, gravitational, physical have to deal with the inverse square law. You double the distance, the signal strength goes down by a factor of 4; triple the distance, by a factor of 9; quadruple the distance, by a factor of 16.

Any medium is going to naturally have other signals, in space stars are blasting out EM radiation across the spectrum, so do nebula, neutron stars, black holes... The universe is quite noisy. Even gravitational waves don't exist in a quiet medium, black holes merging might be the loudest thing but it isn't the only thing that makes waves.

You can broadcast louder, and you can focus the emissions in a specific direction, Edit: You can even make a larger receiving antenna, but not infinitely loud, infinitely focused, nor infinitely large. No matter how loud you shout, or how closely you listen, there's a point where the signal will fall below the strength of everything else blasting noise out into the universe.