I wrote computer code to do this in college, but I don't think I could remember how to actually do it now without looking up some stuff in books. Ironically it was a class assignment, so it can't be that monumentally difficult. The point is that the star field is identical whether it's viewed from the earth or from the moon or even from Mars. You just have to resolve which portion of it you're looking at, and that's been possible for even hobby astronomers for years.
A theory attributed to Bill Kaysing says that the relative positions of the stars would change due to parallax if seen from the moon, and that expert astronomers would be able to tell if there were any discrepancies. I don't know if that's his actual theory or if it's been made even more ignorant in the retelling. Either way the facts are clear:
1. The star field is unchanged according to a great degree of precision when viewed from anywhere in the solar system.
2. The portion of the star field that would be visible from a point on the moon at any date and time is not difficult to compute via spherical trigonometry.
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