Another "post-modern" natively compiling Scheme is Gerbil Scheme [0]. It's seeing a lot of attention/enhancements lately, including some bounties to implement features.
[0]: https://cons.io
[0]: https://cons.io
It compiles to C, and from that to binary program
Minor Gerbil version as an example. (export main)
(def (fib n) (if (fx<= n 1) n (+ (fib (fx- n 1)) (fib (fx- n 2)))))
(def (main) (display (fib 47)) (newline))
Compiled with gxc -O -exe -o gerbil.fib
Similar results on x86_64