In a large bowl, whisk together coconut cream pudding mix and milk until smooth and slightly thickened (about 1 minute).
Fold in one container of whipped topping until fully combined.
In a 9×13-inch dish, layer ¼ of the graham crackers on the bottom.
Spread ⅓ of the pudding mixture over the crackers evenly.
Repeat layering two more times.
Add a final layer of graham crackers on top.
Spread the remaining whipped topping evenly over the top layer.
Cover and refrigerate for at least 6 hours, preferably overnight.
Before serving, sprinkle toasted coconut on top.
This Coconut Icebox Cake transforms into a soft, sliceable dessert as it chills.