If it were poorly designed and used exceptions, yes. The correct way to design smart constructors is to not actually use a constructor directly but instead use a static method that forces the caller to handle both cases (or explicitly ignore the failure case). The static method would have a return type that either indicates "success and here's the refined type" or "error and this is why."
In Rust terminology, that would be a Result<T, Error>.
For Go, it would be (*RefinedType, error) (where dereferencing the first value without checking it would be at your own peril).
C++ would look similar to Rust, but it doesn't come as part of the standard library last I checked.
C doesn't have the language-level features to be able to do this. You can't make a refined type that's accessible as a type while also making it impossible to construct arbitrarily.