There's a lot of misinformation out there about the moon. For example, some people think that because there is no atmosphere on the moon, we would float off into space if we tried to stand on its surface. But the truth is, the moon has gravity just like Earth does, and you would be able to walk on its surface just fine.
So can we live on the moon? Unfortunately, not yet. The moon doesn't have the necessary conditions for sustaining life, such as water and air. But who knows? Maybe one day we'll be able to colonize the moon and call it home.