ONLY IF YOU ADMIT TO THEM! A normal USAF physical is not going to find out that you're vulnerable to say...russian ragweed. They will ask you a million questions that, if you want to pass the physical, you will answer "no" to.

If you answer so much as "maybe", they'll test you until your feet bleed and then they WILL find something that you're allergic to, and then they'll disqualify you and make you a logistics officer.

And yes, I know people who fell for that trap.