No.
Moisturising the eye area will always improve the smoothness and texture of your skin.
Choose a moisturiser that encourages collagen production (and protects the collagen you have) and it will smooth fine lines and wrinkles, improve elasticity and firm the skin around your eyes.
Peptides, hyaluronic acid and antioxidants are all backed by years of research and proven to reduce wrinkles and keep your skin looking firm and youthful.