I love this conspiracy theory. I have spent many an hour looking into this and without dragging you into both sides of the argument, the answer is yes, NASA did get man to the moon.
The shortest summary I can give is:
In 1969, we simply did not have the technology to fake it.
Today is a completely different story, we would easily be able to fake it even on a home PC, but in 1969 this was not possible.
If you want to see a compelling argument around this, let me know and I will go away and find it somewhere out on the Internet.