Oh, anything can be faked even if it isn't faked well. They work as long as the numbers aren't verified.
There was something about how Wen Jiabao's mom's ID number must have been stolen to drive a billion dollar empire...so, at least as far as the government officials are concerned, it happens (or to say, they use it as an excuse).
Or at least you used to be able to. As with other commerce, I think this is all done online now.