This is maybe random, but with words like אני and עני, where the only difference is a basically silent letter, is punning common? Or would it be poor taste to try wordplay with these particular words?
Not sure about these two words, might be a little more difficult since they're different parts of speech, one a pronoun and one an adjective, but probably possible.
However, another good example of this is באושר ועושר (in happiness and wealth), a fairly common phrase.
There is a difference between the pronunciation of א and ע. The letter א is "silent", as are the English vowels. But the letter ע is not, it has a throaty sound.
In today language it sounds usually the same, but the difference exists (even if not used)
Watch this great video: https://www.youtube.com/watch?v=2-9MMghUsLo
Knowing Duo, I had thought this might be referring to some drunk person saying "at least I'm not myself". Fortunately, I kind of spotted the ayin sound (which probably wasn't meant to sound different though).
In this specific example, probably not, but there are plenty of other similar cases where it's common.