Yes, I have gotten mail forwarded as much as 8 months after a move. It get's a yellow sticker with your new address on the bottom right. I believe it's based on names so it may not work for all mail.
Having one's email forwarded to another address can also be subject to fraud. Haven't done it in awhile, possibly you now have to go to the counter and show some id, but it used to be far too easy to fill out the little card and hand it to the person behind the counter, no questions asked.