which formation can we run stick out of without involving the back and not using any motion

The formation you can run a Stick play out of without involving the running back and without using any motion is the "Doubles Y Off Wk" formation. This formation features two receivers on one side, a receiver split wide off the line (Y Off), and a weak side alignment (Wk). It allows the Stick play to be executed by a receiver without needing the running back's involvement or any pre-snap motion.