I have no clue how a lunar rendezvous is achieved? Either does NASA.
Your inability to work it out makes no difference to what happened or not. Your ignorance does not mean that everyone in the world is also as ignorant.
Also, is it your contention that an orbital rendezvous is impossible? Or just that a Lunar orbital rendezvous is impossible?
If orbital rendezvous was (in your opinion) impossible, is it still now impossible? If so, please explain the Space Shuttle rendezvousing with satellites? Also explain the Hubble repair missions. And the ISS?? What about the Russian space program and MIR? Are SpaceX also faking it with their Dragon capsule?
If orbital rendezvous was impossible at the time of the Apollo program, then please explain the Gemini rendezvous missions. Or are you also contending that the Gemini program was also a fake? If so, explain the launches and the Agena target vehicle launches. You will also have to explain the Apollo/Soyuz rendezvous and Skylab. When DID orbital rendezvous become possible in your version of history?

If it is your contention that Earth orbital rendezvous is possible but Lunar orbital rendezvous is impossible, then please explain why. What is unique about rendezvousing around the Moon that only applies there (apart from the obvious distance from Earth and the difference in orbited bodies).