I think there is a company that makes new PPSh-41 semi-auto carbines
Stay away from Allied Armament. They suck. Bad.
I've heard Wise-Lite makes a better semi-auto PPSh-41, but I've never owned one.
I eventually gave up on pistol-caliber carbines. I had a Kahr/AO Thompson that never ran even after multiple returns, an Allied Armament PPSh-41 that never ran even after multiple returns, both companies were a nightmare to deal with, full of untrustworthy, incompetent numbskulls. And unfortunately, that seems to be the rule rather than the exception for companies that make pistol-caliber carbines.
I had an RRA 9mm AR that sort of worked, most of the time, with original Colt magazines and +P/NATO ammo only, after I sent it back twice. It's pretty sad that that's my best pistol-caliber carbine experience.
Buyer beware. If I were you, I would forget the whole idea.