The profile owner is allowed to delete anyones posts they want. There's no parameter to disable this. To remove such a feature you'd need to edit the core of the plugin.
Kyle (Krileon) Community Builder Team Member Before posting on forums:
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I know. I am talking about deleting off of "other user's" walls.
Nevermind. I just realized that the demo profile I used to delete the post was a moderator profile. That must be why I was able to delete off a superadmin's wall.