If you are actually arguing that our accomplishments in space aren't real, in good faith, you are very uneducated on the topic.

If the US made up the moon landing, we have many nations that have the technology to call out the lie. Yet none have, not even supposed 'enemies' of the US.

That one seems harder to 'work out', than your assumption that we couldn't go to space with the technology at the time.

People have even simulated the first moon landing using the same Apollo guidance code used in 1969. So there is a lot of evidence for anyone to work that one out.