There is a F/O at my domicile that is basically deaf out of one ear and wears a hearing aid. If it can be done for airline flying, you can do it for a PPL.
You will need to get a FAA waiver though. This link has a host of good stuff for you-
http://www.deafpilots.com/index.htmlFrom their FAQs:
"What is the process of getting a medical certificate, if you are deaf?
Every person wanting to become a pilot must submit to a physical examination and apply for a medical certificate. This examination is done locally, by an Aviation Medical Examiner (AME). The AME, upon finding that you are deaf, will defer your application for a medical certificate to the FAA Aeromedical Certification Branch in Oklahoma City for further review.
After 6-8 weeks, you will receive a letter asking you to arrange for a special medical flight test with a local FAA flight examiner. During this medical flight test, you will be asked to demonstrate recognition of imminent stalls and engine failure. If you pass this test, you will receive a "SODA": Statement of Demonstrated Ability. Once you have this SODA, you can then take the regular private pilot flight test. (Sometimes, the medical flight test and the regular flight test are conducted at the same time.)"
Also, "the FAA has published a joint brochure, called 'To Fly: An Initial Guide for Deaf Pilots and Their Instructors,' which is not available online. However, the FAA has several resources at
http://www.faa.gov/pilots/become/deaf_pilot/You might also try a search of the forums at
www.studentpilot.com