In a large bowl, combine bread crumbs and milk. Add ground turkey, egg, Parmesam, parsley, garlic, salt and pepper. Gently work to combine. With wet hands, shape into about 45 balls, using a heaping teaspoon of mixture for each. Freeze 10 minutes, if desired.
Bring a large pot of salted water to boiling. Add broccolini and cook 3 minutes (MAYBE LESS; I USED BROCCOLI). Remove with a slotted spoon to a bowl and set aside. Return water to boiling. Add cavatelli to boiling water and cook 5 to 6 minutes. Drain, reserving ½ cup cooking water.
While the pasta boils, cook meatballs. Heat 2 tbsp of the oil in a large skillet over medium-high heat. Add half the meatballs and brown on all sides, about 5 minutes. Remove to a plate and repeat with remaining tbsp oil and remainng meatballs. Remove from heat.
Pasta: Heat ¼ cup olive oil in pasta pot over mediumhigh heat. Add garlic and red pepper flakes; cook 1 minute. Stir in broccolini and meatballs and cook 2 minutes. Remove from heat and add pasta, some of the reserved pasta water and the grated cheese. Toss to combine. Spoon into bowls and top with additional cheese, if desired.