Position knife blade in food processor bowl; add cranberries. Pulse until cranberries are chopped. Combine cranberries, marshmallows, and 3/4 cup sugar in a bowl, stirring gently. Cover and chill at least 2 hours.
Fold in apple and whipped topping. Spoon mixture into 6 (4-ounce) parfait glasses, filling 3/4 full. Beat cream cheese, cream of coconut, and powdered sugar at medium speed of an electric mixer until smooth. Top parfaits with cream cheese mixture. Sprinkle with granola.