Hi yes sure you can easily find the ip address of person with whom you are chatting ...To trace ip address follow the steps given below.
1.First invite or ping that person for a chat on facebook or through some other social network sites .
2. Make sure your all other tabs in browser and other services in computer are closed. If Possible for you then delete all the cookies-cache and browsing history from your browser.
3. While chatting on Facebook go to Start >- Run >- cmd .
4.After Opening command Prompt Type netstat -an command and hit Enter.
5. Now you will get Ip Address of all the established connections there
After finding the ip address you can easily trace the location of that ip address just by doing ip search for that ip address at sites like Ip-Details.com here they will display details like ip location ,ISP address ,country and so on .....