Rust is also pretty good at this, not quite as good as Go, but still generally pretty solid. Main related points:

Rust code is statically linked by default. C code you link to may not be. Many -sys packages (that wrap C libraries) give you an option to link statically or dynamically.

libc isn't statically linked by default, so that's usually the only thing not-statically linked in a pure-Rust program. You can use musl instead if you'd like.