Good topic and question. If you have been flying amateur rockets for awhile, and also watching other people fly large/complex - fast - high rockets you really get a feel for how difficult something like this is. I often hear new flyers talk about launching a rocket to space when they start HP rocketry. I think it's natural if you are a true rocketeer to desire this. But, after say 10 years, these same people want to fly to 50K' and believe that would be a great accomplishment - which it is btw.
But, the goal is space.
The development of new electronics affordable to the amateur is encouraging. This makes it possible to track a rocket going so fast and high. (Also, it's always nice to recover what you launched along with that on-board video.)
Probably best with a must-stage rocket, and the talent to do something like this exists; probably about a dozen people on this forum with existing knowledge and skill could do it as a team. The major problem is the team building that would be necessary, and having the team members have equal ownership in the project. You see, lots of people would like to launch a rocket to space, I know I would. But, people just don't get up in the morning and realize that their life mission is to make Richard's dream a reality. They want it to be their project and their accomplishment. But, unless you have lots of resources and can pay for most of the stuff, you are not going to do it yourself. I'll give an example of the problem with team building for something like this. So, a large conventional amateur rocket would probably need a launch pad. So, who wants to build this pad? Then, you could say, "I built the pad for the second amateur team that launched a rocket to space." Hum... And, that's the second problem, someone has already done it! People tend to loose interest if they are racing to be second. So, another good question would be what's next?
Personally, I wouldn't mind being second or third or whatever. You have to feel comfortable being an important part of something larger; motivated by the challenge and building something unique.