Would you uproot your life, leaving behind your family, your job etc if you dont like the weather in a country.
(Obviously theres always more than one advantage of moving someplace but to build a life somewhere, would weather be top 3 factors in choosing where to live).
Sure, why not? Everyone has their own reasons for moving and climate contributes to an area's quality of life.
When I moved from Southern California to the Pacific Northwest, the benign climate here was a factor. Didn't want to live somewhere where it was blazing hot every day for months, where it was a steam bath all summer or where I had to shovel snow every winter.