CB GroupJive doesn't have that functionality so no it's not doable without implementing it yourself. It however can be implemented using CB Auto Actions. The below should work.
Global
Triggers: gj_onAfterCreateGroup
Type: Email
User: Automatic
Access: Everybody
Action
To: query
To Query:
Code:
SELECT `email` FROM `#__users` WHERE `block` = 0
Subject: EMAIL_SUBJECT_HERE
Body: EMAIL_MESSAGE_HERE
That should email every user when a group is created. I would recommend caution with this. It'd be easy to spam users with too many emails by doing this and could result in your email domain being blacklisted if too many people report you as spam.