It's a big leap from rocket, or rocket-like, technology to space travel.
Is it, though? I mean, we can't fly into space using planes but there's a good reason for that. Planes require lift, generated by air flow over the wing.
No atmosphere = no lift.
This is where rockets win, they provide thrust regardless of whether there's an atmosphere. Rockets are the technology we need to get into space, and we demonstrably have it.
We went from the first powered flight in 1903 to the first supersonic flight in 1947, to Concorde in 1969.
[Note that one could argue that technology in this area never really moved on since, if anything it has regressed in terms of speed. But that is because travelling at supersonic speeds is expensive and was never economical for passenger planes, Concorde kept running because of the prestige and it raised the profile of the BA brand, not because it made money. The technology to go much faster certainly exists]
Point being, driven in no small part by the two World Wars, technology in this area progressed fast.
ICBMs have existed for decades:
https://en.wikipedia.org/wiki/Intercontinental_ballistic_missileThey have a huge range and basically do go into space.
This is where I take issue with the Occam's Razor Wiki page:
What's the simplest explanation; that NASA has successfully designed and invented never before seen rocket technologies from scratch which can accelerate 100 tons of matter straight up at 7 miles per second, and that NASA can do the impossible on a daily basis, explore the solar system, and constantly wow the nation by landing a man on the moon and sending robots to mars; or is the simplest explanation that they really can't do all of that stuff?
Who says NASA invented "never before seen rocket technologies from scratch"? That's a complete straw man.
The Russians got into space before the US did. For a while Russia were ahead of the US in the space race, first satellite, first person in space, etc. The US only caught up and overtook when Kennedy made that famous speech and poured a LOT of money into the project. Like all technical advances, there were a lot of incremental stages. NASA were nowhere near the first to build rockets, the first long range rockets were the V-2s built by the Germans. Had NASA been formed in 1910 and suddenly started claiming that they could launch stuff into the space a matter of years after we first invented powered flight then I'd agree that was a bit suspicious, but it took decades of developing technology and NASA were not the pioneers by any means although they became the best in the business in the 60s when Kennedy threw enough money at it. Look at the budget they had in the 60s compared with now:
https://en.wikipedia.org/wiki/Budget_of_NASAIt's hardly a surprise or suspicious that they made progress given that funding, but, again, that progress wasn't "from scratch", it was built on decades of rocket research and progress in other countries.
Your arguments are all very "Devil's advocate". You insinuate and try and cast doubt but you have no actual solid evidence of anything.
Yes, it's possible that the whole thing is fake. In the same way that it's possible that anything is faked. I'd suggest rewriting that Occam's Razor paragraph as follows
What's the simplest explanation; that NASA, Russia, Europe, India, China and all the other countries who have space programs are all faking space travel, the regular rocket launches which are witnessed by people all around the world are just for show, that the over 500 people who have been to space are all lying - including the 7 "space tourists" who paid handsomly for the privilege, that the ISS is not orbiting the globe despite it being visible from earth in the exact time and place stated, that GPS really uses some other technology than orbiting satellites, that geostationary TV satellites are really some other objects, that all footage and photos from space going back over 50 years are all faked; or is the simplest explanation that the rocket technology first available in the second world war has been developed and really can launch people and things into space?