Yes, you can do Capri and Sorrento.
Lots of touristy things- and lots of great stores ( good Italian name stuff- high fashion etc.)
Great ceramic stores ..places that sell, burl wood music boxes ( that are made there- pretty)..lots of art. furniture everything. And, all the store peoplr remind you constantly that they can ship!
There are streets and streets of stores.
Don't forget the touristy stuff like Limoncella ( if you have never tasted -you must! There are lots of shops that give you tastes
