You get into hairy problems of definition, but you can definitely create an "async" runtime out of "sync" operations: implement an async runtime with calls to C. C doesn't have a concept of "async", and more or less all async runtime end up like this.

I've implemented Future (Rust) on a struct for a Windows operation based only on C calls into the OS. The struct maintains everything needed to know the state of the IO, and while I coupled the impl to the runtime for efficiency (I've written it too), it's not strictly necessary from memory.