Height of an individual is determined by Genetics, Environmental & Nutritional factors and Hormonal factors (most important the Growth Hormone
secreted by pituitary gland
An individual stops growing in height after the fusion of the Epiphyses (growth plates) of the long bones, which occurs by the age of 16-20 yrs in females.
So...as you belong to the above mentioned age group, you may still have a chance of achieving your dream height.
Make sure that you are taking a healthy & balanced diet, exercise regularly & avoid stress.
Protein rich diet like soya, groundnut, pulses, etc should be incorporated in your diet plan
Despite these measures, if you experience difficulty, it will be better to rule other causes of underweight.
Investigations like complete blood count
, thyroid profile, estimation of blood sugar level will be helpful.
One more thing...avoid consuming any over the counter medication
which claim to boost your growth hormone & increase height...it may be harmful.
Wishing you Good Health.
Thanks and take care.