Yes. Being a vampire is a state of being, or condition. Christianity is a religion that one may choose to follow. Some may think differently (they're wrong), but the two are not mutually exclusive; vampires are not evil or satanic. Granted, Christianity and the Bible do have some ideas about not drinking blood, but if you do your research, you will understand that this refers to the blood of sacrifices. Society does not have such a religious stigma against consuming fat, as it does of blood. Perhaps people are overreacting?
Christians do not concern themselves with sacrifices any more, so consuming the blood of sacrifices, or any blood for that matter, should not be a religious consideration.