Is there such thing as a injection to balance hormones for females instead of taking birth control pills?

Possibly: it is unclear as to exactly what you are asking. There is an injection to prevent pregnancy. This is given every three months and you may not have periods. There are some drawbacks to this especially if you are a smoker. You would not take birth control pills with this. Note this does not balance your hormones. Notes in you meds are an appetite supplement. This injection may make it greater.