Dice the onion and red bell pepper into small, even pieces; mince the garlic. Drain and rinse both cans of beans, then combine all spices in a small bowl and set aside.
Heat olive oil in a large Dutch oven over medium-high heat, add the ground turkey, and cook for 6–8 minutes, breaking it into crumbles, until fully cooked through with no pink remaining. Season lightly with salt and pepper.
Reduce heat to medium, add the diced onion and bell pepper to the pot, and cook for 4–5 minutes until softened. Add the garlic and cook for 1 minute, then stir in the tomato paste and cook for 1–2 more minutes until slightly caramelized.
Add the spice blend to the pot and stir to coat the turkey and vegetables evenly. Cook for 60 seconds, stirring constantly, until the spices are fragrant.
Stir in the pumpkin puree, undrained diced tomatoes, chicken broth, Worcestershire sauce, and both cans of drained beans until everything is well combined.
Bring the chili to a boil, then reduce heat to low, cover partially, and simmer for 20–25 minutes, stirring every 5–6 minutes, until thick and flavors have melded.
Remove from heat and stir in the heavy cream; optionally blend 1–2 cups of chili with an immersion blender and stir back in for extra creaminess. Taste and adjust salt, pepper, and cayenne as needed.
Ladle into bowls and top with sour cream, shredded cheese, sliced jalapeños, fresh cilantro, or hot sauce as desired. Serve with cornbread or tortilla chips.