Boy do they. I coached a few of my kids through hockey starting at age 5. My kids could skate by then, we always started around 3, but those early games were so painful. Takes a few minutes to move the puck across the half ice.
Used to be a mall in Charlotte NC that had a skating rink in it. If there was a kids ice hockey game I would run over to watch, it was hilarious. Every time the puck got near a kid, they would lose their mind and bust their ass on the ice. I'd be crying by the end.