yes they do. But if someone says that, for example, they are from Norway I automatically think cold too. People seem to stereotype countries for what they have learned about them. Hawaii everyone thinks hot, and generally Hawaii does not get frost so they are correct but there are places in Hawaii that you can actually ski.
"Snow falls almost every winter in Hawaii, but only at the tallest summits of the islands' three tallest volcanoes: Mauna Loa (the Earth's largest volcano) and Mauna Kea, both on the Big Island, and Haleakala on Maui."
www.aloha-hawaii.com/big-island/snowboarding/