Not to over analyze, but that's like saying 'what if he is allergic to tissue, or bones, or internals.' how would one be allergic to what one is made up of? In the Dracula canon [I'm assuming that's what we're going off of], all vampires, [Lucy & those other chicks] were borne from infection via bite from Dracula. Assuming a new vampire was created, there would be no possible---
I just googled if you can be allergic to blood, never mind.
Well, the blood represents a life force, I'm sure there would be other means of feeding.
Good meme, though.