So maaaaaybe you could have a really painful conversation with someone the moon, but not Mars.
edit: This is WITHOUT any latency introduced by the link/protocol, or if you have to then route the message from one side of the earth to the other, just time-of-flight distance calculations, so the absolute minimum possible latency.
You'd be continually talking over the other person.
Well, the Moon's semi-major axis is about 380000 km, which means latency is lower-bounded to about 1 s.
Similarly, Mars' closest approach is 54.6 million km. That means a latency lower bound of 3 minutes.
1. speed of light through atmosphere, so basically c 2. line-of-sight is required, likely stationary base stations. Probably also subject to atmospheric and weather conditions