Banana split icebox cake can and needs to be made ahead of time. Although it looks fancy, it couldn't be made any easier by layering graham crackers, bananas, and a cream filling.
In a large bowl, mix the whipped topping, sour cream, and pudding mix until blended. Fold in pineapple. Fill a Ziploc bag with pudding mixture and cut off the corner of the bag.
On a flat serving plate or large baking dish arrange four graham crackers in a rectangle. Pipe about 1 cup of the pudding mixture over the crackers; top with about 1/4 cup banana slices. Repeat layers five times. Cover and refrigerate for at least 8 hours or overnight. Graham crackers should be soft.
Before serving, make the chocolate drizzle. For the Chocolate Drizzle: Heat the cream in the microwave until hot (about 20-30 seconds). Place chocolate chips in a small bowl and pour hot cream over the chips. Let it sit for a second and then stir until chocolate is smooth. Let cool slightly while preparing the bananas and strawberries for the topping.
Arrange sliced fruit on top. Drizzle with chocolate and serve.