Several, yeah. Childe, a Fatui Harbinger, could have a win con requiring him to kill several characters like Andrius, for instance, because while he belongs to the enemy faction, he works mostly away from them. Then there are the Hillichurls, an indiginous race that are mostly the fodder of the series. To name but two.
I'm saying that I'm not convinced that the Cult is genuinely recruiting every single Day Phase. They might be, but that would strike me as absurdly powerful in that context, because Day recruit + recruit after leader death + strong flavour claims makes them very difficult to stop. Nigh on impossible, even.