Not as far as I know ... except for Section 8 rentals as mentioned below. But, it is certainly common sense!
However, all tenants have a right to "quiet enjoyment" of the premises ... and who can enjoy a breezy summer evening with windows open to the refreshing air if flocks of various insects are streaming in? Not to mention the occasional mouse or bird. Or little kids climbing in and out of open windows for fun?
I believe it would be very hard to get a good tenant to agree to rent a home without window screens unless the rent is way below market.. And, maybe not even then. Most tenants regard window screens as standard equipment and very important!
Screens are requirement by state of Calif., but also necessary for locks too:
Landlordâ€™s Duty to Provide Security
â€œEffective July 1, 1998 landlords or property managers of all residential rentals in California must install and maintain operable dead bolt locks on all exterior swinging doors that provide access to the living area and must install some type of lock that complies with the building code on all exterior doors that provide access to common areas in multi-family developments. This same law requires operable locks on all windows unless the window is more than twelve feet off the
ground. It does not cover mobile homes, but does cover vacation rentals.â€
Hope this helps.