2001: A Space Odyssey (1968): $10.5 Million
Apollo Program: $25.4 Billion
So, no.
I've thought about that. They'd either have to fake the whole Apollo programme, including all the moon missions, or they'd have had to spend some of the money on a real Apollo programme and just fake the moon landings. Either way they would've spent a lot of money.
Another big problem would be how to keep everyone quiet. A few people would have to fake some or all of the programme so the majority of NASA employees would believe it too. I think it would have to be way more involved than making a movie and would get incredibly expensive very fast.
Then there's the video above stating the technology didn't exist to fake it but I haven't had a chance to watch that yet so won't comment on that further.