There have been vampires, both real & fake, in the show.
In "State of Decay", which was set in E-Space, not in the main universe (N-Space), there were real vampires & one of the Great Vampires. That story established that, early in the Time Lords' history, they'd fought a major war against the Great Vampires. The same vampires (on the same planet) also featured in "Blood Harvest" (Virgin New Adventures novel) & an escaped vampire from that book featured in "Goth Opera" (Virgin Missing Adventures novel). They've appeared in several other stories, too.