No. I'm a professional in the industry. After one complete wipe of the drive with zeros or random data, everything is completely unrecoverable. Ever since hard drive platters achieved densities leading to capacities of 15GB or more, NIST and even Guttman himself (who wrote the paper that recommended a 7-pass wipe, which is what the DoD uses) agree that using magnetic force microscopy to recover data is completely impossible. You only need to know how a hard drive works to understand why it is impossible. At those densities, the magnetic noise you pick up will be mostly caused by heat. If you could even cool the platter down to 0K, even if you had the most precise magnetic force microscope ever conceived, you still wouldn't be able to do it.
The only reason 'deleted' files are recoverable from hard drives is because they are never actually deleted. When you "empty your recycle bin/trash can" or shift-delete a file, all that does is remove the link to those sectors on the hard drive in the file system. The physical file is never actually overwritten or erased, it is only gone when that space is needed to store different data (e.g. when you write more to the drive).
On another note, it really annoys me how some of you people talk with such conviction about things you obviously know nothing about. No, most banks and insurance companies do not crush their hard drives though I'm sure some do, but they might degauss them and recycle them. A lot just do a wipe and then recycle them. The truth is, it costs more to pay employees to sit there and wipe drives than second-hand enterprise drives could ever be worth.
