Do they supposedly list all nominees at that site?
All the way back to 1901. It's the official Nobel Foundation web site. I would expect them to know whether this guy was nominated or not.
To claim to be a Nobel Prize nominee in Medicine and Physilogy is literally impossible, since the Nobel Committee does not release the nominations for 50 years after they are received from the appropriate and legally designated (by the Nobel Committee) sources. Dr. Hammesfahr's nominations are from a Florida congressman and a group of Chiefs of Police. By the same token, Dr. Kevorkian was "nominated" by a letter for the Peace Prize in 1999.
As bad as the case is at this point, Dr. Hammesfahr (do a search on http://www.quackwatch.com which indicates that he has been subject to administrative action for making unfounded claims) is not a credible source of support. He claims to be able to cure everything from stroke to ADHD and ADD by the same methods, but the research is sloppy at best.