The closest I can find in RAW rules is a Vampire Spawn (which is, more basically, a weaker vampire)

> Create Spawn (Su) A humanoid or monstrous humanoid slain by a
> vampire’s energy drain rises as a vampire spawn 1d4 days after burial.
> 
> If the vampire instead drains the victim’s Constitution to 0 or lower,
> the victim returns as a spawn if it had 4 or less HD and as a vampire
> if it had 5 or more HD. In either case, the new vampire or spawn is
> under the command of the vampire that created it and remains enslaved
> until its master’s destruction. At any given time a vampire may have
> enslaved spawn totaling no more than twice its own Hit Dice; any spawn
> it creates that would exceed this limit are created as free-willed
> vampires or vampire spawn. A vampire that is enslaved may create and
> enslave spawn of its own, so a master vampire can control a number of
> lesser vampires in this fashion. A vampire may voluntarily free an
> enslaved spawn in order to enslave a new spawn, but once freed, a
> vampire or vampire spawn cannot be enslaved again.

But the beauty of DnD is RULE 0: the DM makes the rules.

If you can create a fair/balanced system, with enough flavor, your DM could allow it.