Here are some examples of "Ни" + preposition + "что".
 
Ни за что на свете
Not for anything in the world. 
К чему всё это?
What is all this for?
Это ни к чему.
This is for nothing. 
О чём вы говорите?
What are you talking about?
Я ни о чём не говорю.
I am not talking about anything. 
"без ничего" (without anything) is a set expression.
You cannot say "без чего" and thus you cannot say "ни без чего".  
 Quote:
  
 
				Originally Posted by Indra 
 (I'd say, человек без пирогов не человек)
 
      A man without pies is not a man.  :D 
I think that is cute.