no you cannot possibly track them down unless you know how to hack into a websites online database. but when you go down to the police station and get a police report and show your credit card company that it wasnt you they will refund you the moneY!
I am sorry to hear that, maybe your information has been get by some one in invalid way.
You can contact your credit card bank and claim for it, they have those data and can track it.Good luck.
You might not be able to track down the hacker in question, but you should be able to claim back from your credit card company.
Good Luck