There are Facebook sites dedicated to people playing the game and introducing new friends, I was playing the game with no friends just to see how I could do, but when I went over 2.5 million, I decided it was time for friends and picked up close to 90 in less than a day! Good luck and happy building
That would be nice, but from a programing perspective its not possible. Your friends are part of your Facebook account and EA has no way of writing to your Facebook account. It's better to join a group if you are looking for friends to play the game with.
Do your friends only come from Facebook? I like to keep my games separate from FB (too many silly notifications there). Or is there another way to add them?
First FB isn't the only way to connect to game. There's also Google+and game center. Game center is your own. So you should be able to make that in game.