Actually, height is largely genetic.
However, nutrition is what impacts it from en environmental standpoint, and not exercise (it has a slight effect, assuming you are not a professional powerlifter, marathon runner or the like). So no, you cannot increase height by doing certain exercises. The notion that training basketball or volleyball makes you taller is wrong; professional basketball players are an artificially selected population, that is, if you are tall, you are more likely to play ball.
For example, doing heavy weight training in adolescence can negatively impact growth as nutrients are directed away from bone growth and toward muscle growth and maintenance. Chronic diseases affect growth similarly, by affecting nutrient supply.
Your height is determined as your parents' average +7cm for males, -7cm for females. There is some wiggle-room; in case your "genetic potential" is 170cm, then your resulting height will be a couple of cm's above or below, depending on external factors. In case you have a large supply of calories, and all necessary nutrients, then you can reach your maximal genetic potential.