Simply fetch the data through this URL:
http://graph.facebook.com/userid_here/picture
Replace userid_here with id of the user you want to get the photo of. You can also use HTTPS as well.
You can use the PHP’s file_get_contents function to read that URL and process the retrieved data.
Resource:
http://developers.facebook.com/docs/api
Note: In php.ini, you need to make sure that the OpenSSL extension is enabled to use thefile_get_contents function of PHP to read that URL.