Why can you drink a drink but not food a food?

There's no logic to language and don't expect there to be any. It's just that in some cases the noun and the verb are the same, and in other cases not.

It changes from language to language too. In German, you CAN food a food. Essen is one of the German words for food, and essen is also the verb "to eat". So "Ich esse Essen" makes sense - I eat food. (The capital E is deliberate - all nouns in German start with a capital letter.)

Why can you drink a drink but not eat a eat?

You can see a saw but can't saw the sea?

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