Hypochondriac, but is it possible that I have anema?

That depends... Since you say you're a hypochondriac, you seem to be open to understanding your "worry" about being sick as something that could be understood in some way other than being "certain" that you are sick. That does not mean you are, or are not anemic. A lot of people become anemic, for different reasons. Are you one of them? Do you have a reason? Is there a reason you worry about it?
Yes. Being a hypochondriac doesn't mean that you can't get real medical disorders.