Heat the olive oil in a large, heavy-bottomed pot over medium-high heat. Add the onions and peppers and sauté until tender, about 6-7 minutes.
Add the minced garlic and cook until fragrant, about 1 minute.
Add the ground turkey to the pot, breaking it apart with a spoon. Stir in the chili powder, cumin, oregano, cinnamon, and smoked paprika. Cook until the turkey is no longer pink, about 5-6 minutes.
Stir in the tomato paste and cook until it starts to brown, about 2-3 minutes.
Pour in the chicken stock, tomatoes, pumpkin puree, and salt. Bring the pot to a boil, then reduce the heat to a simmer. Cover and cook for 30-45 minutes, stirring occasionally.
Season with more salt, to taste, and serve with additional toppings.