I lost the charging case for my Airpods Pro. Is it possible to get a replacement case without the earbuds (which I still have). I have the serial number. Thanks.

You can get a replacement case from the Genius Bar. Make sure that you bring the AirPods with you so that they can ensure that it works with the new charging case. And you'll have to make an appointment with the Genius Bar. Find your store at https://www.apple.com/retail/, and you can make an appointment. Alternatively, if you have the Apple Support app on your phone, you can make an appointment from there as well.

Yes, you can just get a replacement AirPods charging case. Go here: Replace your AirPods - Apple Support