I'm at 6 weeks pregnant only. And I have a stain of brown discharge for few days. Is it normal?

It can be normal. You can continue to monitor if there are any pain or fresh red blood. Red and a lot of blood are NOT normal and you must consult a gynae ASAP. If you prefer to have a peace of mind, you can still consult a gynae but 6 weeks pregnant might be too early and harder to detect the foetus.