Absolutely, and as you may know, the "candy cane" was originally symbolic of Jesus' purity and blood.
Yes, we get flyers about that in Sunday School every year :-). None of our kids likes peppermint very much, so we hang the candy canes on the Christmas tree for as long as they last. One year we put lights in the shrubbery outside and hung the candy canes there, and the neighbors ate them!