The Borg are the intersection between zombies and vampires. They have the contagion feature that is common to both, but don't devour their prey, either by drinking blood or cannibalism, so it's hard to say which one they really are.
But let's say that the Borg are more zombies. That leaves the concept of vampire Borg wide open to interpretation. A new character type for a space opera producer searching for a marketable angle? The immortality angle is probably key here, which leads right back to cyborgs. Give up your humanity and live forever.