I am not familiar with hyperinsulinaemia, but if you don't have a period, you can't get pregnant. Your period is basically a result of ovulation, so if there's no period, you're not ovulating....and if you're not ovulating, you can't get pregnant. Why do you not want to take metformin? If metformin regulates your cycles and helps you ovulate, I would think this is your best bet if you want to get pregnant.