Yes, it's possible. It's possible that the test was performed wrong, or it might be waiverable. The doctors and techs don't care at all if you pass or fail a test. You're just a number to them. You are your only advocate (and maybe your unit if Guard).

During my first flight physical before going to OTS (not the MEPs physical) I failed an eyesight test. I was devastated but did some research, got ahold of the AFI for the test (thanks to baseops.net and Dr Google).

The tech had performed the test incorrectly. All my recruiter cared about was trying to get me to accept another job. I asked him to set up another test. On the second test I was very prepared, I knew the exact range of acceptable numbers and how the test should be performed.

This time an AF eye Doctor performed the test. He also performed the test wrong. I pointed out his mistake and he read ministered the test. When he got the results he said "you failed". I asked him "what were the numbers?". He said "it doesn't matter there terrible". "What were the numbers" I asked again. He gave me the numbers and they were within limits for my age range. I pointed this out and he said "well I guess you passed, but these numbers are terrible". "Yeah, well I passed and that's what matters".

Bottom line, if I hadn't pushed this myself I wouldn't have gotten in. I've met lots of people who say "I wanted to be an Air Force pilot, but couldn't because of x problem" usually the problem they had wasn't really an issue, but I don't point that out unless they are young and still have a shot. The difference between them an me is that I didn't accept the "no" until I had exhausted all options.

Again, nobody cares about these tests as much as you do, so you have to fight for yourself.