Your chance is relative small because many web wallet around that time closed for various reason.
Depending on how much was in that wallet, you might have learned the hard way how important it is to be in control of your own data and ultimately your own money. Bitcoin teaches us about financial independence and not to rely on third-party services to store sensitive information because they can stop their operations any time, be hacked, or have a leak. A physical backup with pen and paper is and always remains a better option than a digital backup.
Unfortunately, during that time (2010-2011), some people see Bitcoin as experiment or hobby.