In the bowl of a food processor, combine the chickpeas, egg, breadcrumbs, jalapeño, green onions, sesame seeds, soy sauce, and 1/4 tsp black pepper. Pulse until a cohesive dough forms. If the batter seems too dry, add 1 tablespoon of water at a time.
Sprinkle 2 tablespoons of corn starch on a plate or in a shallow bowl. Form 12-16 tablespoon sized balls out of the chickpea dough and roll in the starch until coated.
In a jar, add the 1/2 cup of soy sauce, brown sugar, rice vinegar, 1 tablespoon sesame oil, 1/2 tsp black pepper, and 1/4 cup of water and shake until combined.
Heat oil in a large skillet over medium. Brown the meatballs for 10-12 minutes, turning every 2-3 minutes until each side is crisp and golden. Move to a plate.
In the same pan, drizzle in another tablespoon of oil if needed. Saute the squashes for 4-5 minutes until softened. Stir in the garlic and ginger for another minute. Pour in the sauce and bring to a boil for 4-5 minutes.
Whisk the remaining 1 tablespoon of starch with 1 tablespoon of water to make a slurry. Add the slurry and the meatballs into the pan and toss everything an additional 3-4 minutes until the sauce thickens and coats the veggies and meatballs.
Serve with steamed rice, green onions, and sesame seeds, as desired.