No, it wouldn't develop this fast.
Given that you have a low white blood count, it's really important (especially if this is a chronic condition) that you don't share your cigars, drinks, utensils, etc. (It's important for everyone, but really important for you.) It's really easy to transmit colds, flus, strep, meningitis, mumps, mononucleosis, etc., when you share these things. Yes, herpes is one of them, but other illnesses would be far more dangerous for you.