Does a word rhyme with itself?
Solution 1:
By the formal definition of 'rhyme' (matching the last few sounds), yes, a word rhymes with it self.
But to actually use it in a poem is jarring in its lack of imagination. So it violates the rules of artfulness.
Solution 2:
Yes a word can rhyme with itself and work effectively/artistically. Case in point, John Lennon's Imagine:
You may say I'm a dreamer / But I'm not the only one / I hope someday you'll join us / And the world will live as one