Yes this is a thing!
So Muppet Stayman is an upgrade on Puppet Stayman. The idea is to find your 4-4 and 5-3 fits after partner opens or rebids 2NT AND get the strong hand to play out the contract.
The thing to remember is if you are the weak hand is never bid a suit you might want to play in….so bidding a major denies that major!
There are 19 hands here with continuations on to slam in some cases with some added complexity…