In early 2024, Sergey Bugaev hacked together a Hurd OS running via Alpine; he just replaced musl and Linux with glibc and the Hurd. His goal was to boot the Hurd with busybox and OpenRC (one can install bash, if one wishes). You can read the annoucement email. The source code is here.

He doesn't want to call it Alpine Hurd, because upstream Alpine is not the biggest fan of GNU. It has not seen a ton of activity lately, but anyone is free to revive it.