The moon Pandora in the film is most likely not real. We cannot say for certain whether it is in existence or not at this point in time, however, because we have not traveled to the Alpha Centauri galaxy, where Pandora is located. It very well could be real, but the chances are quite slim.
There is, however, a moon called Pandora in our own solar system. It orbits Jupiter, but it looks nothing like the Pandora in the film. It looks more like a big rock than anything else.