It wouldn't be possible without an affine (at least) type system such as Rust's.

Affine logic rejects contraction, i.e.

     Γ, A, A ⊢ B
    -------------
      Γ, A ⊢ B

My intuition (so take a liberal dose of salt) is that this pretty directly translates to disallowing reuse: we can't see a type twice and continue (inference) as if we saw it once.

Of course, that's very hand-wavy, and doesn't say (as I believe is the case) that there wouldn't be some other way to proceed through a combination of other rules.