Ring's API is proprietary and Hubitat has no integration (directly, at least) at this time. However,
I'm not aware of any official integrations that allow you to use the Chime as a standalone device, if that's what you're asking. (If you want an alternative, you may wish to consider the Aeon Siren/Doorbell 6, Sonos, or a tablet or computer with LANnouncer or VLCthing, though these last two aren't native.)
In fact, I'm not aware of any unofficial integrations that do, either (e.g., Home Assistant). Both of these leads me to believe there's little hope for using the Chime in this manner--and in the case of Hubitat even less since you'd need to involve a third party to make it work at all right now (and possibly indefinitely; it's possible Amazon/Ring isn't willing to work with new or smaller players).