In a medium bowl, combine the ground meat, green onions, carrot, ginger, garlic, soy sauce, and sesame oil. Stir to thoroughly combine. Using a 2-tablespoon cookie scoop, portion the filling into mounds on a parchment-lined plate. Lay a dumpling wrapper over each meatball and gently press to cover and hug the filling. Heat a large skillet over medium heat and lightly coat with oil.