How do I compile a html javascript package into a single, static binary?

You could do it pretty easily in Go.

Basically just use embedfs to add your javascript and HTML.

https://pkg.go.dev/embed

Here's a complete working example with a http server from that page:

package main

import (
	"embed"
	"log"
	"net/http"
)

//go:embed internal/embedtest/testdata/*.txt
var content embed.FS

func main() {
	mutex := http.NewServeMux()
	mutex.Handle("/", http.FileServer(http.FS(content)))
	err := http.ListenAndServe(":8080", mutex)
	if err != nil {
		log.Fatal(err)
	}
}