You can delete your account... I had one that I requested deleted back in 2009, and then had "reason" to get back on, and when I created my new account my prior data from 2009- was not there.
You can remove it from public view and remove your ability to log into it, but you can't remove any data. Facebook was never designed to "delete" that data, hence all you can really do is permanently disable your account, with the illusion of having it deleted.
Doesn't imply that they deleted your node from the graph, only that you created a new one that might have gotten linked to the first ("disabled") one.