Raziel is no longer a vampire, Kuja. Kain had him "executed" and he was just barely rescued from the pits of hell by The Elder God. He was resurrected as a Soul Devourer. His physical form is maifest by his will alone, because his natural form exists on the Spectral Plane.

In other words, no, Raziel has no blood. He has no internal organs left below the ribcage, no skin, and no jawbone. He's a superpowered spirit with the ability to make his ruined body take form in the Material Realm. He doesn't need blood to survive, he needs energy. Specifically souls.