There are plans to send probes to other stars. So you can communicate in principle from spacecraft light years away. They don’t even need to be particularly huge. One idea, project Dragonfly, is to send a a swarm of small satellites which combine together to beam a signal back to Earth using sunlight from the target star as a power source.

Artist’s impression of a swarm of small satellites beaming a signal back to Earth.

Project Dragonfly: The case for small, laser-propelled, distributed probes