It is possible, well not fined but sued for distributing copyright material
There are ways to protect yourself from these things happening, but still not guaranteed.
This site has filtering software called PeerGuaurdian2 to download for free. It will keep well known anti P2P IP's from entering your system
http://phoenixlabs.org
Don't share too many files at a time
Also don't stay connected 24 hours a day
Also search the forum for other ways. Use the search option (words like Legal Illegal RIAA MPAA)