Heat the olive oil in a large Dutch oven over medium-high heat. Add the celery, onion, and chopped carrot. Cook, stirring often, until softened and slightly browned, about 5 minutes. Season with 1 teaspoon of kosher salt and 1/2 teaspoon black pepper.
Stir in the chard and cook until wilted and tender, approximately 5 minutes. Add 12 cups of water, bring to a boil, then reduce to medium-low and simmer for 30 minutes to develop the flavor. Adjust seasoning as needed.
Prepare the meatballs: In a large mixing bowl, combine the ground turkey, grated zucchini, grated carrot, egg, garlic powder, onion powder, Worcestershire sauce, 1 tablespoon dill, 1 1/2 teaspoons kosher salt, and 1/2 teaspoon pepper. Mix thoroughly, then shape into mini meatballs, about 1 teaspoon each, yielding roughly 44 meatballs.
Gently drop the meatballs into the simmering soup in batches to prevent sticking. Cover and cook until the meatballs are completely cooked through, 6-8 minutes. Skim any foam from the surface as needed.
Stir in the star pasta and cook until tender, stirring occasionally, for about 7 minutes. Sprinkle with the remaining dill for a fresh finish. Serve piping hot and enjoy!