Short answer: Yes, totally. Human bodies all work a little differently, so it's possible to have an egg ready to go while you're having your period. Learn more in this episode of BrainStuff, based on these articles: https://health.howstuffworks.com/pregnancy-and-parenting/pregnancy/fertility/abnormal-menstrual-cycles-and-fertility.htm; https://health.howstuffworks.com/pregnancy-and-parenting/pregnancy/fertility/pregnant-during-period.htm