For full-on parse-don't-validate, you essentially need a dependent type system. As a more light-weight partial solution, Rust has been prototyping pattern types, which are types constrained by patterns. For instance a range-restricted integer type could be simply spelled `i8 is 0..100`, or a nonempty slice as `[T] is [_, ..]`. Such a feature would certainly make correctness-by-construction easier in many cases.
The non-empty list implemented as a (T, Vec<T>) is, btw, a nice example of the clash between practicality and theoretical purity. It can't offer you a slice (consecutive view) of its elements without storing the first element twice (which requires immutability and that T: Clone, unlike normal Vec<T>), which makes it fairly useless as a vector. It's okay if you consider it just an abstract list with a more restricted interface.
[0] https://geeklaunch.io/blog/make-invalid-states-unrepresentab...
EDIT: Parent comment was edited to amend the "impossible/unrepresentable" wording