Add the oils to a large frying pan over medium heat and cook the scallions, ginger, garlic, red pepper flakes, and Chinese Five Spice for about 2 minutes. Add greens and cook another minute until slightly wilted.
Transfer the filling to the bowl of a large food processor. Add remaining ingredients (except wrappers) and pulse until everything is roughly chopped, but not a big pile of mush.
Set up your dumpling-assembling station: A small bowl of water, the filling, and your wontons.
Dip your fingers in the water and dot or “paint” around the edges of a wonton. (This is an excellent task for the kids.)
Spoon a small amount of the filling into the center of each wonton.
Fold one corner over the opposite corner to make a triangle shape. Pinch all sides together; smush their centers slightly (so they’ll lay flat in the frying pan) and set aside.
Once all the dumplings are assembled, add a tablespoon vegetable oil to a large skillet set over medium-high heat. Fry in batches adding more oil as needed, until dumplings are crispy and golden, about 2 minutes on each side.
Serve the dumplings with soy sauce. To make it an official dinner, round out with a fresh sugar snap peas salad.