It’ll cool you down a bit but I’ve never seen any evidence of freezing. There’s been experiments on animals and also people have survived vacuum exposure before. According to this animals will survive 90 seconds of vacuum. No mentions of turning into ice like the movies.

When something or somebody is injected into space, they always freeze in seconds. The logic is that “space is cold” but space is mostly a vacuum and vacuums don’t have temperature. Vacuums insulate against conduction, so you’re not going to freeze anytime soon. (You’ll lose heat via radiation but that will take a while).

Not to mention the effect that zero pressure has on freezing/boiling points. If anything you’d be steaming as all the water on you evaporates!

I’ll ask the boys down at the crime lab. They got us working in shifts.