No, this is not true. Yogurt is a milk product and does contain Lactose. Yogurt, plain, low-fat, 1 cup 415 mg and has 5 g Lactose. Lactose intolerance is the inability to digest significant amounts of lactose, the major sugar found in milk.his is because it is made with bacteria cultures, which feed on the lactose to make acids which turn milk into yogurt. Yogurt does not cure lactose intolerance (there is no cure). However, lactose intolerant people can eat yogurt with no problems. Source(s): I'm lactose intolerant.