Can you get frostbite on your tongue from eating frozen food?

I think I might have gotten frostbite on my tongue right now from eating way too many frozen cherries. I have the habit of eating a lot of frozen fruit, and am constantly chewing on ice cubs. I know this is not the best thing for your teeth, but oh well.
Now there is also a possibility my tongue is just burned from drinking hot tea but I'm still curious. I'm not sure if you can get frostbite due to the heat of your mouth wich mealts the food pretty fast.
Can you get frostbite on your tongue from eating frozen food?
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