No cold sores are a form of the herpes virus has nothing to do with chapped lips. Of course any cuts or open wounds (like broken, chapped lips) can make it easier to catch the herpes virus. Hope this helps.
Bella
Cold sores means you have Oral Herpes (as opposed to Genital Herpes). Usually, oral herpes (or cold sores) are caused by HSV-1, and usually genital herpes is caused by HSV-2.