No, replace them when they are damaged or worn out. I've never seen tires that said anything like, "Best if used before 2005." I usually replace my tires because they have a split or tear, well before they are worn out. Gee, that's how I replace my kids' clothes, too.

While I'm on the subject, I rotate my tires every 800 miles or so, and once got almost 4000 miles out of one set. Ride 'em.
Tom