Do you think someone can be a good lyricist if they aren't a musician?

Obviously most poets have a basic up to advanced understanding of rhythm and meter. How important do you think understanding musical structure is to writing great lyrics?

I’ve noticed that the phrasing the singer employs makes a big difference in how successfully the lyrics work with the melody. A singer can draw out syllables and play with inflections and so on to make the lyrics work. One example is this Alela Diane song. Just listen to the way she sings the word roam 3 different ways!

I was watching a show about Oscar Hammerstein the other night and they said that in certain ways the simplest lyrics can be the most difficult to write. The temptation is to embellish and wax poetic. The example of a simple song that they gave was People Will Say We’re in Love
It would be a dream come true for me if I could have my words set to a song, but I have no musical ability at all!!!! What do you think?