No, because the goal isn't to protect the user's data from being "leaked", it's to protect the user from the hosting site (zerobin) being forced to take down their posts.
And run the entire server out of memory. 64GB of ram is cheap on servers now; you boot from a write-protected flash drive, and everything is done in memory. If you power the box down, anything stored in ram is lost.
Quoth the project page;
"Admins can still remove a document upon injunction or infringement notice… but have no way to tell if the same document has been posted again."