If im allergic to a bee sting can you still become a marine?

Plenty of people in the Marines have Allergies. Either to medicines, foods, seasonal, etc. I know of a 1stLt that just two weeks ago got stung by a bee while out running during lunch and had to go to medical because he had an allergic reaction. As much as the Corps needs to up the numbers not that big of a risk.====I've been in 9yrs.