Prepare and bake cake mix according to package directions. Cool completely on a wire rack; cut into squares.
In a small saucepan, combine the pineapple, cranberries, brown sugar, cinnamon and nutmeg. Bring to a boil. Reduce heat; simmer, uncovered, for 8-10 minutes or until cranberries pop, stirring frequently. Cool slightly. Serve with gingerbread. Garnish with whipped topping.