Heat olive oil in a large soup pot over medium heat. Add onion, jalapeños, corn kernels, salt, and pepper. Cook for 7–9 minutes, stirring occasionally.
Add garlic, ground chicken, chili powder, paprika, cumin, additional salt, and pepper. Cook for 7–9 minutes, breaking up the chicken.
Pour in chicken broth, extra broth or apple juice, and chicken base. Bring to a boil, then reduce heat and simmer for 25–30 minutes.
Stir in hot sauce, sour cream, cilantro, and lime juice. Simmer 5–10 minutes.
Taste and adjust seasoning. Serve the Street Corn Chicken Chili with desired toppings.