yes there are many poems that do not rhyme.
free verse
All poems don't rhyme because its an expressing of feelings it doesn't have to rhyme it should only make sense
i think well from what my teacher told me is that there called black verse that's my best guess. Ah-oh-ho! Not "black " verse! It is called "blank" Blank verse is different from free verse. Look at...
A rhyme is kind of a poem