I believe there are desperate people in Russia who reload 22 LR cartridges. As I remember it, they use a tool to remove the firing pin indentation on the case and then use ground up match heads for priming material.
There are also people in Pakistan who make all sorts of machine guns and other firearms from scratch with relatively primitive tools. They make ammo as well. I'll bet they could figure out how to reload 22 LR cartridges if they aren't already doing it. In fact, if I was really desperate and had a lot of extra time on my hands, I could probably figure out how to do it.