Yes, the AirPods Pro can be charged using the AirPods Pro's wireless charging case. AirPods Pro and AirPods (1st and 2nd generation) use the same Qi wireless charging technology, so their charging cases are compatible with each other. You can charge the AirPods Pro by placing it in the wireless charging case of the AirPods Pro, or by placing the AirPods (1st generation, 2nd generation) in the wireless charging case of the AirPods Pro.
Yes, the charging devices of these two headphones can be used interchangeably.