Hello,
Yes, this is possible. You can use the
wiki module for creating any type of content on the live site. You can also set up the security of an part of the group pages, that only group members will be able to access them. This can be set up in the Security section of any page in CMSDesk (this can be also set automatically during group creation). By default only the blog creator has publishing rights of new posts, so if you create a blog for the administrator during group creation then this would match your requirements.
Best regards,
Boris Pocatko