@alisha-- It can be but poor circulation is diagnosed by a doctor, so you can't tell on your own. Doctors have to check color of feet and toes, the pulse of the feet as well as symptoms like numbness to determine circulation problems.
If you don't have any chronic conditions like heart problems or diabetes, I doubt it has to do with circulation. Your shoes might not be as suitable to cold and snow as you think. You need to buy shoes with multiple insulation layers and wear wool socks.
I once made the mistake of wearing high heels in snow. The snow got into my shoes and literally froze my toes. My toes first became numb and then they started to hurt as though they were injured. It was horrible. Thankfully, I had an extra pair of shoes at work that I could switch into. The numbness and pain went away when my feet warmed up.