The title says it all. If Yes, then how?
Sadly, I think only an admin can delete it:
At your group home, on the right, click on Manage Group, then Request Group Deletion.
It would be unfortianatly nice if he or she had the abillity for me to delete any group he or she would illegaly and illegitly wish. This will set of a 1 2 3 4 5 set pattern of events in wich he or she gets angry at me for he or she deleting my group.