Can two persons have similar finger-prints?

Sometimes, I have come across people telling me that they had seen me at a location where I had never gone. Quite possible, they had seen some person resembling like me. It is said there are persons having similar faces or resemblance existing in differnet part of the World. Does it mean that God has limited numbers of human-moulds? If so, there could be persons having similar finger-prints as well. However, Forensic Scientists claim that there is not even a remotest chance of same figer-print in two persons. However, what about those people already deads? We do not have finger prints of those people who died long back and there could be a possibility that recently born could have same finger-prints of such already dead persons. Did we make any research on this line? But, that is possible only when we start collecting finger-prints of each and every persons living in any part of the World. A gigantic task but it is worth it not only for the above cause but also for identification. Can't we give a try?