It is showing my Kentucky return can't be electronically filed because I didn't list a dependent care social security number. However, I didn't claim dependent care.

This is something that TurboTax is addressing.  Take a look at the following TurboTax article and click the button inside the article to enter your email address so that you can be notified when an update has been released.

Kentucky e-file showing "Not Eligible for Electronic Filing"