Yeah!
You certainly could use clamps, but infer that you have a nail gun.....that makes assembly very easy without clamps. With the piece on it's one side, apply glue to the "up" side. Align the front or back frame and shoot some nails.
If you aren't comfortable doing that. With the frames upright (like they would look when finished), put one side (with glue on the front and back edge of the frame) between the front and back frames and first lightly clamp together. Now, using your finger to feel the alignment, make sure everything is aligned. Snug up the clamp and shoot it together. Pull off the two clamps and repeat for the other side.