Preheat oven to 350° and grease a 9"-x-13" baking dish with oil. In a large, deep skillet over medium-high heat, heat 1 tablespoon oil. Season chicken with salt and pepper. Add chicken to skillet and cook until golden and cooked through, 8 minutes per side. Let rest 10 minutes, then cut into 1" pieces.

Heat another tablespoon oil over medium heat. Add onion, sweet potatoes, Brussels sprouts, garlic, thyme, paprika, and cumin. Season with salt and pepper and cook until softened, 5 minutes. Add 1/4 cup broth, bring to a simmer, and cook, covered, 5 minutes.

Place cooked rice in a large baking dish and season with salt and pepper. Stir in chicken, cranberries, cooked vegetables, and remaining 1/4 cup broth. Top with almonds and bake until dish is hot and almonds are toasted, 15 to 18 minutes.