Yes, it's possible, but if you've had an outside partner, you may have gotten it from sex, and that bacteria could be transmitted to your partner. At the very least, avoid sex for 7 days or until your medication is finished, whichever is longer. If you've already had sex with a partner, and possibly exposed her, then she needs treatment. If she doesn't get treatment, you'll just pass it back and forth between you.
Also, untreated, this could lead to long-term consequences for her.