Yep. We could cover Mar's sky with something similar to SpaceX's Starlink (high availability from any location on Mars) but with large data buffers and transmission systems that can pump the goods all the back to Earth.
46 Light Minutes is pretty much the maximum, that's 827,427,184 Kilometers round trip which is a bit beyond the maximum distance to Mars so there's some processing delays thrown in there.
RANGE 20.00 billion km
ROUND-TRIP LIGHT TIME 1.54 days
DATA RATE 160.0 b/sec
Amazing.