At the 30:30 mark of the movie they have the NASA logo on a banner from 1992 - not the 1960's one.
I find hard to believe that NASA went to the Moon. But hey, 50 billion a year in tax money is no reason to question things. I'm no 'scientist' obviously, just a humble reviewer, but the whole idea of rocket propelled travel in a vacuum is difficult to wrap one's mind around.
The movie - Operation Avalanche, not the NASA moon landing movie, was enjoyable even though it was of the mumblecore genre.