Preheat oven to 350°. Cut eggplants, tomatoes, peppers and onion into 3/4-in. pieces; transfer to a large bowl. Stir in artichoke hearts, thyme, capers, oil, garlic and 1/2 teaspoon Creole seasoning.
Sprinkle chicken with remaining Creole seasoning. Transfer chicken to a 13x9-in. baking dish coated with cooking spray; spoon vegetable mixture over top. Drizzle wine over vegetables.
Bake, covered, 30 minutes. Uncover; bake until chicken is no longer pink and vegetables are tender, 30-45 minutes longer. Sprinkle with cheese. If desired, serve with pasta.