Well, for various reasons I stopped hosting my own Hubzilla instance some years ago, but back then it absolutely had CalDAV and CardDAV. The problem was mainly that this wasn't well exposed in the Hubzilla web-interface, other than an event calendar. But with Thunderbird and DAVx5 etc. you could connect to it and manage it just fine. The WebDAV file storage part worked fine in the web-interface as well.
Edit: these parts are not federated though AFAIK (contrary to Nextcloud which does have some kind of file-sharing federation).