Can I sue if my personal information gets stolen including my debit card details and it causes me troubles?

If someone steals your personal information, including debit card information, and uses that information to your detriment, then you can certainly sue the person whole stole your information and anyone who uses the information (the person who stole the information may not be the end-user of the information).  You should also file a police report immediately if you know who stole your information and/or if you know who is using your personal information.