XKCD recently discussed if it was possible to build a jet pack out of AK-47 rifles.
I would say it is not possible because finding enough AK-47 rifles would be very hard given their relative rarity. The AK-47 was succeeded by the AKM and AKS not long after its inception. Most of the AK rifles you see in the news are Khyber and Chinese copies of the original.
[ Many thanks to Darren for the tip. ]Related