Can I mute group chats when Focus mode activates?

Is it possible to mute group chats when a focus turns on? My siblings and I have a chat that I would like to mute when sleep focus activates automatically, but I would still like them to be able to reach me during sleep focus individually. Is that possible? Could it become possible?

[Re-Titled by Moderator]

Original Title: Muting Group Chats on a Schedule