Yes, Bridgy and Bridgy Fed both can do similar functionality, but Hatsu is the only one that is easily self-hosted and doesn’t require microformats / webmention.

Web Components to be exact, which reads contextual data from Hatsu’s Compatible API. You might also want to take a look: https://github.com/oom-components/mastodon-comments

Hatsu is “suitable” for Static Sites, but Hatsu itself is not static.