Heat oil in a large pot over medium-high heat. Add onions, garlic, celery and green peppers and sauté until softened - about 3 minutes.
Add ground chicken and break it up using a wooden spoon. Sauté until meat is browned and fully cooked.
Add tomato paste, chili powder, and cumin. Stir and cook for 1 minute.
Add pinto beans, kidney beans, tomato chunks, tomato sauce, water, brown sugar and season with salt and pepper to taste. Stir until combined. Reduce the heat to medium-low and simmer for 1 hour, stirring regularly.
Serve warm. Enjoy with hot sauce, sour cream, grated cheddar, tortilla chips for dipping or breadsticks.