Not entirely. Knowing that it can be done is often half the battle. He's standing on Von Braun's shoulders. We all are.
I bet Musk could land one of them on the moon now if it wanted to.
No. But he could in 3-5 years, if he wanted to and could (as you suggest) round up the bucks. No bucks, no Buck Rogers. And he'd have to worry less about welfare-state idiots than NASA would.
Getting into space, getting to the moon and Mars are all well and good, and I’d much rather see my tax dollars go there than to support illegals and bums- but I think the real reason the space program died, or the main one, is no one being able to figure out how to make a profit. Even the great Robert Heinlein seemed to imply that while the government could provide the initial investment, to sustain the exploitation of space was going to require the ability to make it pay.