no but at some point you will be introduced to Catholic teaching on sex and marriage, and since you are asking I suspect you already have a good idea what that entails. you won’t be kicked out of the class, but you cannot receive the sacraments unless you are in a state of grace, and your education will cover forming your conscience so you can make that judgement, make changes in your life that are necessary to conform to the gospel.
RCIA is more than a class and more than ceremonies. It is above all a process of conversion, and that entails confronting everything in our lives that interferes with our union with Christ and his Church. Living together without benefit of marriage is definitely one of those barriers. Please meet with the priest at the earliest opportunity to take steps to make things right in every area of your life.