Can you attach a hoop without using lugs?
Yes, if one of the hoops allows you to screw the tension rods from the other hoop directly into it, or if you have rim clips or hoop claws that receive the threading of the tension rods from the other hoop. You can get around the lug nut thing pretty easily.
By "loop", I assume you mean "rim" or "hoop"...
Yes, you can tack the head to the drum. That's what they did in the old days with calfskin heads. It's a little harder to do with modern heads, but I'm sure it *could* be done. You could also glue them on. It would be difficult to tune the drum with any of those methods, though...