Nope, as a type I diabetic, could not serve, although it did not stop the recruiters from calling me 3 times a day for months. I scored in the top 2% on the ASVAB we had to take in HS, so they wet their pants trying to get me. I told them time and again that I was diabetic but they must not have told their buddies.
Three of my brothers served though, none during war time. Oldest brother was a 2nd LT in Army, next oldest was 1st LT in Air Force and then walked on for Bryant at Bama, next oldest was 1st LT in Army and stationed with my oldest in Germany. Oldest refused to salute the younger, higher ranked brother. There is a reason he never progressed past 2nd LT. The brother that is closest to my age, he is the only brother to do neither college(4 out of 5 of us) or military(3/5) but has been a hard worker his entire life.