Grill the Chicken & Corn:
Brush chicken breasts and corn cobs with 1 tablespoon olive oil; sprinkle with a little salt and pepper. Grill over medium-high heat until chicken is cooked through (5–7 minutes per side) and corn is charred in spots (8–10 minutes), turning occasionally. Let cool, then dice or shred chicken and cut kernels off the cobs (reserve some corn for topping).
Sauté the Aromatics:
In a large Dutch oven or soup pot, heat remaining 1 tablespoon olive oil over medium heat. Add diced onion and jalapeños; cook for 3–4 minutes until softened. Stir in garlic and cook 1 minute more.
Bloom the Spices:
Add cumin, smoked paprika, chipotle chili powder, salt, and pepper. Stir and cook for 30 seconds to bring out the flavors.
Build the Chili:
Add grilled chicken, most of the grilled corn (save a handful for topping), white beans, and chicken broth. Stir to combine. Bring to a gentle boil, then reduce heat and simmer uncovered for 15–20 minutes.
Make It Creamy:
Remove pot from heat. Stir in Mexican crema (or crema/sour cream blend), shredded Pepper Jack cheese, and lime juice until the cheese is melted and chili is creamy and slightly thickened.
Taste & Adjust:
Taste and add more salt, pepper, or lime juice if desired. For extra smoky-heat, swirl in a little adobo sauce or a sprinkle of Tajín now.
Serve & Top:
Ladle chili into bowls. Top with reserved grilled corn, Cotija cheese, cilantro, jalapeños, lime wedges, Tajín, a drizzle of adobo sauce, and tortilla chips for crunch.