If you stop taking birth control, your blood pressure might drop or become normal again after a period of time. However, it's also possible that your blood pressure may have increased slightly and won't raise any flags during physical exams. If you take hormonal birth control with high blood pressure, then the best option is to avoid non-hormonal birth control options at all costs. However, if you still want to use a hormonal birth control method, then you can try using an IUD, implant, or progestin-only pill with caution.