Heat oven to 425°F. On a rimmed baking sheet, toss tomatoes, garlic, and chickpeas with 2 Tbsp oil and ¼ tsp each salt and pepper. Roast 10 min.  Heat remaining Tbsp oil in a large skillet on medium. Season chicken with both paprikas and ½ tsp each salt and pepper and cook until golden brown on one side, 5 to 6 min. Flip chicken over and cook 1 min. more. Transfer to baking sheet with tomatoes and chickpeas and roast until cooked through, about 6 min. more. Discard garlic skins before serving.