Heat olive oil in a large pot over medium high heat. Add garlic and onion, then sauté for 2-3 minutes until fragrant and softened.
Add ground turkey, 1/2 the seasoning packet, and some salt to the pot. Cook the turkey, breaking apart into chunks with a wooden spoon until cooked through.
Add all remaining ingredients except kale and stir. Bring to a boil, then lower heat to a simmer and cover for 30 minutes. Occasionally stir, taste test, and add salt as needed.
Add the kale to the pot and stir into the chili. Cover and simmer for another 15 minutes before removing the chili from heat.
Optional: top with sour cream, cheese, green onion, and/or avocado before serving.
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