If someone has herpes with or without a sore on their finger can they spread it to other parts of their own body such as their genitals, eyes, ears?

Unlikely: Possible but uncommon. The virus itself is only present on the sore during the first few days (3-5 days) after the sore forms, after that there is no further virus even though the sore is still present. During those first few days you can spread it to other sites in the body, especially the eye, but this is very uncommon Wash your hands frequently and vigorously