Compose and AOT compiled binaries would be amazing (GraalVM Native Image kinda thing) but it doesn't look very easy at the moment. Leyden with a regular JVM might be the best we get.
Compose UI apps can be compiled to native binaries already, via Kotlin's LLVM backend, though at the moment only the macOS/iOS targets have proper (official) support. Last I looked (a few years ago now), the Linux and Windows targets shouldn't be too far off, since it's all built on top of Skia already, someone just needs to care enough to put in the work. (But since right now you already get coverage for all platforms between JVM and Wasm, not to mention hot reload support on the JVM, there's little motivation to do so.)