Will the increase in the level of growth hormone lead to a better hight growth?

Yes: Increasing growth hormone levels will increase height until the bone's growth plates close (2 years after menses starts in girls, til age 17-20 in boys). This is not prescribed unless one is much shorter than average, but one can safely increase one's production of growth hormone through diet & lifestyle. See http://bit.ly/1cYCtlQ for a good discussion on how to raise your levels.