It can. Most hormonal birth control helps with acne, because the hormones change the amount of oil your skin produces. However, acne is also listed as a possible side effect for most birth control pills, so there’s definitely a chance it could go the other way as well.
If treating acne is important to you, let the doctor know during your consultation. There are some birth control pills that are better at helping acne than others — a few are even FDA-approved to do so.