Do you mean: could the moon strip away our atmosphere with its gravity in the absence of solar radiation? Well, Earth has gravity, too. It's much stronger than

Do you mean: could the moon strip away our atmosphere with its gravity in the absence of solar radiation? Well, Earth has gravity, too. It's much stronger than the moon's gravity. In fact, Earth's gravity is the only thing that's holding the moon where it is! The moon might manage to steal a little gas from Earth and hold onto it, but the transfer of mass will be nowhere near what I would call "stripping".