Not a technical problem altho I'd argue that doesn't matter so much, because even in ICE, it's not like the car will stop working altogether.
The issue, like ICE, is the efficiency. In harsh winters, both your ICE and EV suffer from trying to warm things up. The pro with EV is that you are warmer in the car faster but you still take the efficiency hit because the battery takes forever to warm up. An ICE warms up faster...