Can Oral Herpes be made worse by additional infection?

Patient: I have had cold sores all my life, but I just recently shared a drink with someone who had a visible cold sore, which I didn’t notice until after I sipped their drink, and now here I am with a cold sore 2 days later. My question is, if I already have cold sores, is it possible to make them worse and or more frequent if I were reinfected, so to speak?