Is the skin lesion infected and contagious?

Skin lesion. It depends on what kind of the skin lesion it is. It needs to be examined. There are some skin lesions that are infected (baterial/viral/fungal) are are contagious. Others are non-infected and not contagious.
Possibly. Certain skin lesions particularly when they are open and oozing can represent impetigo which can be caused by either staph or strep germs which can be spread usually by direct contact particularly to skin that is broken down. Other skin lesions can be caused by viruses or fungi which may or may not be contagious.