The biggest obstacle is finding a 93 22LR kit. I've seen them out there, but if memory serves they are in the neighborhood of 2 grand, about the same cost as a good 93 clone. That's a lot of cheese for a 22 kit, but it is an option. If you want to feed 22LR mags through a 93 type host gun and you can get your hands on the 93 conversion kit, then it seems that an SW93AR / SW53AR type gun as manufactured by Coharie / Special Weapons / Black Market Parts and maybe others MIGHT work. The 93/AR guns were made so clone lovers could use the mountains of AR mags we own, rather than having to buy expensive 93 mags.
So 93AR + 93 22LR kit + 22LR AR mags = maybe. If you love to tinker sounds fun.