Yes, actually 你 can. Dishes such as blood 布丁 或者 black 布丁 call for pig's blood as its main ingredient. Then dishes like blood sausage call for beef blood. In both of these recipes, the blood along with all the other ingredients is boiled. So yes, there all all kinds of recipes that are made using blood of some sort.
I, however, have never tried these recipes, so I am not sure what they taste like.
My friend used to eat chicken's blood, which was quite disgusting to me, they had their own chickens, and they cooked the blood that they drained from them after chopping the meat and stuff. Blood gets gelatin like after cooking and they ate it with bread...Never tried, never will...
I've never tried and probably never will, but I looked it up and they say its possible. I can imagine putting blood in cake batter and cooking it. But blood alone cooked seems a bit difficult.