Is a a way to do a “Bare” state monad in modern Haskell?

1) we have a monad instance for (r -> ) 2) is there some way we can arrange sans newtype an instance for its state monad sibling ( /\ x . s-> (s,x)) without a type lambda or some new type or injective type families? I can definitely see that this is def not possible with h98-h2010, is this otherwise expressible? Mostly just curious if there’s some trick that’s now possible :)