Is there Saint Harry

Generally, the Orthodox saint Haralambos is considered Saint Harry. His feast day is celebrated on the 10th of February.

Yes, because Harrison ( Harry ) is a christian name. So that means that there was Saint Harry ( Harrison ).

No, there is no "Saint Harry". The name Harrison means 'son of Harry'. Harry is a nickname or derivative of Harold or Henry. There is a Saint Henry, but not a Saint Harry.