Is it appropriate to make a dua like “Oh Allah, don’t make me dependent (mohtaj) in any way or form on anyone other than you”?
If yes, then is there a specific dua by our Imams (as) which can be recited in qunoot or after namaz?

The Ahlulbayt (a) have recommended us to say, “O Allah don’t make me in need to the evil/wretched ones of your creation.” This is an appropriate Dua because we need others. No human can survive and function on his own.