Yah. People will just die. Refugee sort of implies a refuge. There’s not going to be such thing’s around if things go south as we fear they are likely to. It’s gonna play out far more like the Old Testament.
Heretofor uninhabitable places such as ... greenland maybe?
Also, worth considering is that it is virgin territory for exploration for minerals and other goodies.
No shortage of water either.
But even all that aside, it is newly available space. If you can build a city in a desert (Phoenix, Arizona lets say) you can build one on Greenland.
As for soil, the creation of soil in Ireland and the UK took quite a bit of time.