Can I get a replacement if I lost my AirPods Max case?

Hi, you may go to the support page and then choose AirPods for the type of device that you need support with. Then you will see this page, select "Lost or Missing AirPods" > "Replace AirPods Case" and then "AirPods Max". Then you can continue to select "Chat" and message the Apple Support Team for a Replacement for the case. You may ask the support if they can deliver the case to your location in the steps they give you, or you may go to a local Apple Store to get the case when the support team message you the information.

Here's the page link: https://getsupport.apple.com/topics