Possible, but they don’t have to be happening now. It could have happened in the past and be sort of immortal, I mean we have legends about nefilim, and that would be kind of demi-gods. There could be also be a breed like vampires or weres that have different characteristics in another place. And we have the different kind of shifters in faery legends.
Since the accord there was a lot of regulations, but at the same time there are things that happend outside of the accord, like the demon that sired a half-demon, so I still think there could be offspring and not necessarily a reborn god, but more like hercules, offspring of a god-spirit and mortal.