Welcome to Just Answer and thanks for your question. There are no antibiotics available without a prescription. Your physician would need to prescribe the correct antibiotic depending on which bacterium is causing the infection.
You can try applying hot compresses for 15 minutes several times a day. When you aren't applying compresses you should keep it covered with a bandaid to keep it moist. Please don't be tempted to squeeze it or open it with a needle since this always makes it worse.