My wife isn't even 5ft. (no dwarf) :D . I love her since the month we met. If she was shorter or taller I'd love her as much.
I don't think there's a way to grow more than what's in your genes.
Some drugs are sold on prescription but bad side effects have been reported:
#-nerve, muscle, or joint pain
#-swelling due to fluid in the body's tissues (edema)
#-carpal tunnel syndrome
#-numbness and tingling of the skin
#-high cholesterol levels
#-increased risk of diabetes and growth of cancerous tumors.
#-depression, fatigue, tension, and anxiety.
#-In 1985, unusual cases of Creutzfeldt-Jacob disease were found in individuals who used them.
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Unless you've yet to hit another growth spurt, you are likely going to stay that height or maybe only a little taller. There's no way to fight genetics like that without taking extensive measures. I did see a television special of someone who wanted to be a flight attendant and they had a height requirement, so they put special braces on her legs, and broke them in specific points and as they started to mend, they'd stretch so they would continue to mend eventually making her legs longer. I would not do that, and you might have difficulty finding a surgeon willing to do it as well because it seems rather uncommon and not very good for your body.
Never fear, though. The "cute" height doesn't matter because some guys may put limits on the height of a girl they will date, but honestly it doesn't matter for a girl being short. My girlfriend is only 5' tall, and as far as I know she's never had any problems attracting men. You're only 16, you have a long time to be attracting men.
Girls generally finish growing at around 19 years of age. At 16 years old I was about 5'9 and now as a full grown adult I stand at 5'11 so really you will probably only grow another couple inches. It's just genetics and you just deal with what you are given. Personally I would love to be a few inches shorter than what I am but there's nothing I can do about it lol