Are shot records needed to bring my cat into ZIH via flight?

We used to commute back and forth from the US to Mexico at least twice a year with both our dogs and cat. Once we got stopped and they were specifically checking cats. He did not have a rabies shot, they aren't required in the US. We ended up having a vet called, having the shot administered in the RV and were finally on our way. It was a bit trying for of us.

It would have been much easier us and Balam, if we had just done it in the US ahead of time. Your choice, your cat.