Lots of people eat ice! See e.g. http://online.wsj.com/article/SB120165510390727145.html?mod=todays_us_nonsub_page_one
In America there is something called "italian ice." It is not ice cream and it is not gelato. It is similar to what the French call sorbet. In cities with large Italian populations, such a Chicago and Philadelphia, you can buy italian ice in the summer from sidewalk vendors, in paper cones. Is this what Duo means by eating ice? Or is it just talking about crunching ice cubes? Is Italian Ice even a thing in Italy?