Can a collection agency access my credit cards to collect a debt?

I've had to close my bank account, as my safety has been compromised. A debt collector is hot on my trail due to this, and I can't pay back right now. I am positive they can't garnish my wages, after asking my employer. However, I am concerned that they may actually have the ability to involve themselves in some way with my legitimate, and timely paid credit cards. They don't have any info on those credit cards. Is there anything else I need to worry about?