Yes, it happens, even to many people who have not lived a drinking life.
Google "debt strategies" or "get out of debt strategies" and you will find a lot information to help you resolve your financial situation. It takes time, but if you're working and have a paycheck you can reduce your debt and build some savings. And working to fix the situation will help to reduce your financial worries.
One suggestion I have would be to call your credit card companies and ask them to reduce your interest rates (assuming you have credit card debt). It doesn't hurt to ask, and most companies will work with you.