Yes, most LLMD's will prescribe antivirals when they are called for.
Another thing you can try, that will cost a lot less, is Lysine. I've been using it for the last 6 years to keep my EBV and other herpes viruses under control.
umm.edu/health/medical/altmed/supplement/lysinewww.ncbi.nlm.nih.gov/pubmed/3115841