Unfortunately the likelihood of life on Moon is next to nothing (if that's what you are implying by carbon). Remember, we have some ~900 lbs of moon rock we brought back with Apollo that we have studied. By all accounts the moon is just a dead ball of dust. There isn't even tectonic activity. The little water is trapped as frozen ice in rocks. No atmosphere means constant bombardment by radiation and temperature differentials are in hundreds of degrees. It's as inhospitable as it gets.

Sorry for my ignorance, but what's the significance of carbon in the crust?