This reminds me of a former director who liked to say to some of our partner teams, "poor planning on your part does not constitute an emergency on my part.". She was good at putting a buffer in between IC's on our team and partner teams so we could focus more on planned work.

The "yesterday" need-by date maybe works the first time. Beyond that, if that's really the company culture or management style, I'd be quietly looking for a new job. Same category as Friday afternoon requests for things due Monday morning.