Not really, as designed. However, one could disassemble the strut and coat it with petroleum jelly, which would give some restriction/damping, but not alot.

I talked to one of the Staggerwing owners at the EAA Airventure in Oshkosh,Wisconsin this year about the landing gear characteristics. He said the real ones are the same as our models. No damping. He said you can feel the springs take the load as the aircraft settles, and that you must be very smooth and carefull when landing on grass, as even small bumps can bounce the aircraft back up if lightly loaded, ie no passengers or luggage, and light on fuel.