Not where I live. If things really are that bad, my place of work may shut down, true - but the police, even if they wanted to, stand a snowball's chance in hell at imposing a lockdown. Including all city and county officers, there are maybe 50 total patrol/task officers in a region with over 30,000 people and 60% armament rate.
You could add in the national guard - but the state is pretty firmly against lockdowns and they don't really tip the scale that much - other than they have an operational air wing and B-2. So, you know…. Our national guard has F-15s and nukes.