Heat a large skillet over medium-high heat. Cook and stir venison, onions, bell pepper, and jalapeno in the hot skillet until venison is browned and crumbly and onions and peppers are soft, 5 to 7 minutes. Add garlic and cook until fragrant, about 1 minute.
Add crushed tomatoes and pumpkin. Stir in chili powder, paprika, cumin, turmeric, and chipotle chile powder. Reduce heat and simmer for about 30 minutes.