I don't think raccoons would discourage bunnies, but you may have very shy wild bunnies. We knew we have them in our city neighborhood, but only because when we have a light snow, there are bunny tracks in it before Miss Hoppy is outside yet!

Yesterday morning, though, I saw a very young - adolescent, I would say, bunny in our street! Very sweet, hopped down the sidewalk toward me for several feet before changing his mind and dashing back across the street into the bushes!