Yes, new stucco can be applied and textured over an existing stucco finish. This is called recoat and restucco, and we are experts in this application.  Recent advances in stucco technology and best practices in stucco application has allowed us to choose to use either traditional or synthetic stucco for the color coat.  Synthetic stucco allows us nearly absolute color control, and our color lab is able to match existing colors to transform them into the color of your new stucco.