No, the RØDECaster Pro is not a USB host device and will therefore not allow the connection of Bluetooth headphones.
To connect Bluetooth headphones to the RØDECaster Pro, you'll need to connect a third-party Bluetooth transmitter to the headphone port on the RØDECaster Pro.
For more information about RØDECaster Pro, please see our RØDECaster Pro User Guide.