We can. There is no reason we can't. However, the way in which it is processed after it is killed, and slaughtered, and shipped around- you put a lot of faith in people to not contaminate food with harmful bacteria (and not natural bacteria as per a regular killed animal).
People do eat raw meat, in the sense of sashimi, steak tartare, etc. etc. It's fine, some argue far better for the body to do so (inuits live basically on raw meat, with no vegetable matter.. they get adequate vitamin C)