Here's why there's no exact match:
* "Him" is a pronoun: It refers to a male person already mentioned.
* Other words that sound like "him" have different meanings: For example, "hymn" is a religious song, "him" is a slang term for "man," and "hym" is a very uncommon word.
However, you could use a near homonym like "hymn" in a sentence to create a humorous effect or play on words.