Hi There,
In short No, however if they suspect you have been doing malicous activities they can report your IP address to the Police / your ISP who cannot neccaserily trace exactly where you are (depending on how you connect) but they can trace who you are.
The only info the website owner has about you is your IP Address, Platform (e.g. Win XP) & browser type (e.g., they can use tools such as GeoIP to trace your IP and find out where in the world the IP address range is registered, 99% of the time this will point to your country & region, even city.. unless you have a satalite connection or indeed AOL!
Hope this helps,
nmr