Combine chicken, onion, bell pepper, garlic, stock, diced tomatoes, tomato sauce, chiles, chili powder, oregano, and cumin in a 4-quart slow cooker. Season with salt and pepper.
Cook, covered, until chicken is cooked through on low 7 to 8 hours or on high 3 to 4 hours. Add squash and green beans and cook, covered, for 30 minutes. Remove chicken, discard bones and shred meat; return to slow cooker. Stir in lime juice and cilantro.
Serve topped with cilantro, jalapeños, and sour cream, with tortilla chips alongside.
