Probably not.
Vulcans are known to be able to survive for several days without water, many more days without food, can go without sleep for two weeks, are stronger, faster, and are more emotionally controlled than humans under normal conditions.
These characteristics are described in Wikipedia and Memory Alpha.
Vulcans complain rarely, and because of all these reasons, it is unlikely for them to feel cold.
Additionally, it is almost proven that Starfleet uniforms have the ability to adjust their temperatures for whoever is wearing them--that was brought up in this question.
So it is highly likely that clothes designed for interstellar travel also have built-in temperature controls, and normal people can wear them everywhere.