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Depends. Temp of beer, type of beer and strength of beer. Usually, it's bad to put ice in a cold beer. If the beer is warm/hot and there is no time to cool it, ice is the only way to enjoy it
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You put the ice in a plastic cup then you put the cup in a pitcher of beer. But only if you are drinking the pitcher alone. If you are sharing the pitcher, it should never be allowed to sit long enough to get warm :)
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It's quite common in some parts of the world. In Viet Nam beer will often have a few ice cubes in it. In China they have coke in their wine. Americans put cheese in everything, it's like the Monty Python spam skit. Not my thing but I don't judge.