Just wondering if my son could file a claim against the makers of the flu vaccine

My 23 year old son, currently in the Air Force, had to get a flu shot last month (the military mandates that all Airmen have an annual flu vaccine). 5-6 days later, he had a grand mal seizure (right in front of his Commanding Officer-who realized what was happening and got him to medical) 2 days later, after he was leaving a Neurologists office, he had another one, blacked out, hit a tree and was taken to the hospital. They now have him on anti-seizure meds and have advised him he will be medically discharged from the Air Force, which is very upsetting. He had been an extremely good health, physically fit and there is no history in our family of seizures. Wondering if this could be a possible case against the manufacturer of the vaccine?