We do make mistakes in relationships and sometimes that mistake is breaking things off, rather than working things through.
If both currently have the desire to be together going forward, then there's a chance. You have to do it. Otherwise you'll just be regretting it for the rest of your life. Try, maybe fail, but don't NOT try.
If you feel bad, sad, and hurt after you were the one who broke up the relationship means, you are still in love. It means, you made a mistake. Usually, when you break up with someone, it shouldn't hurt that much because you were the one who did it. You had all the time to prepare for it, and also mentally set. You weren't the one who was surprised. You are suppose to feel better after the break up. If you were unhappy, sad, uncomfortable, and weird in the relationship, it should have made you feel much better after the break up. if this is not the case, it's your heart telling you that you made a mistake. You know what to do. Don't sit there and watch TV.