Probably, actually. “Primitive” societies survived the ice age. Modern societies depend on a relatively fragile system of infrastructure and many of the individuals in modern society are utterly dependent on it. Technology only works within its rightful context, and 99% of it is completely useless after infrastructural collapse.
Meanwhile, premodern societies depend on the ecosystem as a whole which tends to adapt over time; the individuals in such societies are more self sufficient in terms of ability to survive the elements.
So it’s just as likely those not dependent on modern technology will do fine against the vicissitudes of climate change as much as those who are dependent on it. At least in terms of ability to survive. At least, their expectations of survival baseline won’t change nearly as much in the face of natural disaster.