Can Rust match on a type (not a value) to conditionally compile code, like C++'s `if constexpr`?

Question

I was trying to write the following code:

trait Foo {
    type Output;

    fn bar() -> Self::Output;
    fn baz() -> Self::Output {
        const match Self::Output { // imaginary syntax
            () => (),        // compile this statement only if Output == Unit
            _ => bar()       // Otherwise compile this statement
        }
    }
}

Since Output is a generic type, I can't instantiate a value (and it could be expensive to do so). In C++, I would have just used if constexpr(std::same<Output, void>::value) or created a template function and specialized it for void, but I didn't find a way to do it in Rust.