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Many do. Here are some nouns with their antonyms:
health - sickness
wealth - poverty
wife - husband
brother - sister
heat - cool
light - darkness
frown - smile
The nearest thing I can think of is a backronym, like banana, where they take a word and then work out the words it stands for (Build Absolutely Nothing Anywhere Near Anybody). It's not an opposite, but it is working in the opposite direction.