Not only doesn't it, but monetary policy isn't a suitable tool for that anyway. Even for the federal budget; in fact, one of the major reasons for independent central banking is to provide assurances to the private economy, currency users, and, particularly, those financing government debt that monetary policy will not be used to address the currency-issuing-government's fiscal condition (a trend that was distressingly common even in large, basically stable governments before independent central banking, and produced distrust in both government securities and currency.)

OTOH, the federal government's fiscal policy often directly addresses issues that may be particular pressures on state fiscal condition (and, indeed, many government programs -- including the big social benefit programs like Medicaid -- have regular adjustments to federal/state sharing ratios based on relative state economic conditions that are entirely designed around the premise that state economic conditions will drive state fiscal conditions and ability to participate.)

The ECB was out of line not only in regards to common sense but in it's essence in regards to it's mandate.

The FED would not have have messed with the state notes, and it would surely not have threatened to shut down it's banks by saying it would not guarantee their liquidity and cut Cali banks out of the dollar payment system if Cali dares to allow it's private investment banks and bond issuers to declare bankruptcy.