Coconut oil have fats.Coconut oil is made up of a mixture of saturated, monounsaturated and polyunsaturated fats. The oil contains close to 12 g of saturated fat per tablespoon.This makes up nearly 60 percent of your daily recommended saturated fat intake. The American Heart Association states that intake of foods high in saturated fats should be limited. Saturated fat intake can raise cholesterol levels, leading to an increased risk of heart disease. While it is high in saturated fat, coconut oil also contains heart-healthy polyunsaturated and monounsaturated fats that are important for brain function and overall growth and development.