Yes there is camping in the location you are inquiring about, the 1st spot will be river left just below the walking bridge at nathrop look for the sign that states public land and camp downstream of that. The 2nd is just down stream again on river left, as the river passes chalk creek on the right there is a slight bend and an eddy this is an excellent camp and can fit a ton of people.
The 3rd is down stream again on the left, the river takes a slight bend with an eddy, very similar to the one upstream.
The last spots are just above the canyon, there is a straight shot that ends in a right turn left turn, big round rocks left of center in the river, you can camp there or just around the bend.
Hope that helps.