Some people make their own motors. I'm just getting into the basics of it myself. To fly them at a club type launch, so you can get FAA waivers and such, you need to be TRA Level 2 and convince them you know what you're doing. These are known as "Research" or "EX" motors.
Other people have no interest in making their own motors and buy them from the various vendors.
If you want to really make a "space shot" rocket, you likely need to make your own. You might be able to stage a couple O-class motors and get pretty close, I haven't simmed a rocket like that. Even if you ignore orbital velocity, and just go for up-down like most model/HPR rockets, you still need about 90% of the rocket mass to be propellant, and it's not a small rocket. The Qu8k is pretty efficient, you aren't going to see a much smaller rocket with similar performance. Pushing something out of the gravity well sucks, just how it is. Unless you can find a higher isp propellant, that's about the minimum size.
If you search about, you will find various attempts at ideas to get around the worst of it. Things like launching from a balloon in the stratosphere, off the back of a jet liner, giant guns, railguns, etc.. Those are interesting because you can lower the mass of your rocket by getting it a head start. Not just in altitude, but velocity as well. Well, a balloon doesn't help much with velocity, but the others do contribute at least some. Those methods introduce a lot of complexity and add failure points though.
The biggest thing to understand about scale and rockets, is that the curve for higher altitude/payload is not linear (440 G80s), it's exponential. Can hobbiest rockets get to space? Yes, but it's not easy and it's not cheap. There are very good reasons why only a few have pulled it off. Does that mean you shouldn't try to imagine alternatives? No, go for it. Ideas are great. But also be open to learning why some of those ideas don't work. Being wrong is the first part of learning, the next part is admitting it and figuring out why.