I am 19 years old and i am 5ft 8 inches.my father is 5'6 and mother is 5'5.i want to know if i can still grow more?till what age does a person grow?

Maybe not: Boys usually have their main growth spurt in the mid-teens. Some may have a small second growth spurt after 18, but it depends on your family history. Most of the time your height velocity (how quickly you increase your height) is genetically determined. Eat healthy foods and exercise regularly, but you really can't change your height.

Likely finished: You have reached your expected height based on your parents. (M+D/2 + 2.5in) If you entered puberty around the same time as your friends, your growth centers closed at age 17-18, after which you cannot get taller. A single x-ray of your wrist/hand could identify open growth centers which would mean you could grow more.Good nutrition/sleep and exercise support the best growth.