No, but if the information was obtained illegally (cracked account, SE, brute force, etc, etc), then you have no legal right to host it on your site. If one of these account holders sees their info on your site, shit could hit the fan. I can think of a few sites that had similar issues:
1) Phonebomb - post phone numbers of people you want harassed, and the entire community will call this person endlessly and harass the shit out of them until they lose all dignity or just shut their phone off. I don't think any of the charges stuck, but I remember the site owner getting lots of threats of harassment charges from the police. Eventually, the site was shut down because the host determined it was up for the purposes of harassment.
2) "can't remember name" - almost an identical premise to yours. Someone pisses you off - crack their accounts and post the information for everyone to see. Read their email, send out harassing messages to their friends, get personal information, etc, etc. Police attempted to charge site owner for illegally accessing every account listed on the site, but I'm not sure how many stuck. Site was definitely shut down.
What I'd recommend, if you're going to do something like this, is to make it a closed community, with anything remotely incriminating available only to registered users. You can check out the users yourself before activating them, or (if you want to keep the community small), you can just make it an invite-only system.
Another idea is to host the site somewhere overseas. As the site owner, you're still legally responsible for the content, but you'd have a much smaller chance of getting shut down due to victims complaining.