Did California extend its due date for both Federal and State Taxes?

I believe, California can only extend for the State. It has no control over the Federal filing dates.

The Federal and state filing and payment deadline has been extended to October 16, 2023 for taxpayers in CA counties affected by the winter storms.

Please read this document from the Governor of California.

Here is the IRS document which extends the filing and payment deadline for certain California counties to October 16, 2023.