At least at this point, it doesn't seem possible to get replacement ear tips for the AirPods Pro.
Reached out to the local Apple Store (via an Apple Sales rep) and they informed me that the store doesn't have any replacement ear tips in stock and they weren't sure when they would have them.
An Apple Support rep (online) mentioned that the entire AirPods Pro could be returned (replaced) within the 14 day return period. That seems like a waste if it is just the replaceable ear tip that is damaged, but I suppose that is another option.
Another Support rep attempted to find information on replacement ear tips, but was unsuccessful - this link only has information on replacing an AirPod itself, the charging case, or battery repair service - https://support.apple.com/airpods/repair/service