In a word, no. I'd shy away from even dusting the cones.
On the other hand environmental factors can make a big difference. The more you make humidity low and consistent, temperature consistent and relatively low (about 70F), and keep them away from moisture, pets, and children the longer they'll look and perform like new. Some speaker components may deteriorate over time, like some driver surrounds and crossover caps, but there's no maintenance that can be done to avoid aging.