I believe so. That seems to be the common link that ties all vampires together.
[Or at least, that's the best conclusion she can reach after seeing Conrad, talking to Zero, and reading a little about vampires on her own in the library.]
For this reason, there are packets of blood kept in the kitchen as well as special blood tablets that can be found in the store. The vampires in the dome are encouraged to use these instead of feeding on the other inmates.