No, nothing like that. This can only be achieved within site admin. And by default a group mod is a simple subscriber which has no access to group members administration.
The first option is to promote mods to group admin, and in this case he can from front-end, kick/ban user, promote or remove users and nothing else.
The other option would be to give them a WP role who let them access to group members admin and evtl. using a plugin to block their access to all other admin parts… (ie. user role editor)
In addition, you could also get some dev’s opinion to this…
https://buddypress.trac.wordpress.org/ticket/5543
https://buddypress.org/support/topic/how-could-a-group-moderator-edit-group-details/
So far there is no such plugin.
You can try to dive into bp_get_new_group_invite_friend_list filter, and you will need to rewrite /buddypress/groups/single/send-invites.php template.
So quite a lot of work.
