Drain and rinse chickpeas; mash with a pastry blender or fork. Slice onion.
Place the onion, parsley, and garlic into a food processor and pulse until finely chopped and well blended.
In a small mixing bowl, whisk together the egg, cumin, salt, pepper, lemon juice, baking powder, and 1 tablespoon oil.
Add onion mixture and egg mixture to the beans; stir to combine.
Stir in bread crumbs little by little until dough is dry enough to shape easily; shape into nuggets.
Heat remaining oil in a large skillet. Cook nuggets until heated through and golden brown on both sides, adding more oil as needed.
While nuggets cook, heat edamame according to package instructions, and slice apples.