Heat oil in a large stock-pot over medium-high heat.
Sauté onion, bell pepper, chile, and garlic, stirring often, about 3-4 minutes.
Add turkey, increase heat to high, and cook, stirring often and breaking meat into chunks, until it's no longer pink, 4 to 5 minutes (drain grease).
Stir in tomatoes, broth, zucchini, beans, tomato paste, chili powder, & cumin.
Cover and bring chili to a boil, stirring often.
Reduce heat and simmer, stirring occasionally, until flavors are blended, 45 minutes.
Stir in lime juice. If you like, add salt to taste and serve with cheese and cilantro.
Food prep make ahead: Up to 3 days, refrigerated. Wonderful the next day!