No, usually we do not say that an animal ‘wears’ a tail. We usually say that animal 'has' a tail. ( Wear also means to carry or to hold something on your body, like a cloth or a smile or a piece of jewellery or a perfume.The hair on the body can be arranged to be carried in different ways like a poni or a knot or pleated and that can be said as how you wear your hair.)
