Yes, there are two campgrounds on Green River that you can tent camp right on the waters edge.

State Park campsites P47 down to about P40ish, are primitive campsites that are right on the water. The main drawback to this area is that the water is really shallow and rocky. You'll have to fully trim up to get within 10' of the shoreline. If it's a busy weekend, the waves bouncing the boat around will do a number on the hull sitting in the rocks.

Pikes Ridge sites 1 thru 17 are elctric/water sites that are right on the shoreline, but it's a steep bank covered in rip-rap. There's a couple of docks to tie a boat to, but it's first come, first serve on who ties there. Also, when tied to these docks, your boat will be broadside to the waves coming from the main lake.

Pikes Ridge sites 34 to 41/42 are primitive sites that are on the shoreline with about a 16 inch drop from land down into the water. Nice sites, but as far as beaching a boat, some of the sites are at shallow waters, others are deeper. Sites 34 and 35 are right on a point between "campers cove" and the swimming beach, while sites 41 and 42 are right at the very end of "campers cove".

There's pro's and con's of both campgrounds, but both are nice in their own way. Pikes Ridge doesn't have shower facilities, mini-golf, and pavillion areas like State Park, but Pikes Ridge is much quieter, has less traffic, and is much more of and open-spaced campground vs. the cramped feeling of State Park.

Hope this helps. BTW, we camp exclusively at these two campgrounds so if you have any other questions, feel free to ask.