Well... you can get by with a minimum of metallurgy knowledge to make the rocket and a graduate engineer could probably design a workable rocket but the fuel is a real "project killer". You need chemists but you also need facilities to manufacture the fuel and then that requires engineers and so on and so on.
Like Kato mentioned, there's a lot of dependencies and like Targan mentioned, it's going to be hard knowing exactly what you need let alone finding what you need in the T2k environment. And why would you use all those chemicals making fuel when you could be making fertilizer or explosives?
This is the sort of project that needs a few years worth of collecting (not just parts or knowledge but also the people who know how to use that knowledge) and for that part alone, it's a good campaign idea.
But... it's certainly not something that a small population is going to care about when the best they can muster is farm machinery and some computers. This would be something for CivGov, MilGov or maybe even New America to undertake.
As for what Kalos said, maybe there's an unused ICBM sitting in a silo somewhere, anything can happen in the game world if the GM allows it but even with that, it seems kind of pointless to put a satellite into orbit if all you're making it do is go "beep".
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