no, there is no "exactly" a user level that have more preveleges then "regular" user, BUT there is more preveleges for user who own a picture.
If a user uploaded a picture, he is the owner of the picture. (unless admin changed it).
Admin can set in 4images settings, that pictures owners can edit or/and delete their own pictures/comments.
so, that's about all extra preveleges users could get in this version of 4images.
and "moderator" user level has been requested, and might be considering for the future versions.