Hello Todjiaa,
Thank you for your inquiry.
I’m not sure what you can expect with your USB-A side, but the USB Type C connector on that battery bank will be able to handle it no problem if you wire up the correct resistor to ground on both of the CC lines, two resistors in total.
If you want to learn a little about the USB-A side and different resistor protocols Benson Leung wrote up something on this subject:
USB Type-C™’s Configuration Channel | by Benson Leung | Medium
If I’m reading his interpretation correctly, for a legacy device adapter with a standard A receptacle you would be required to deploy a 5.1kOhm resistor from CC to Ground.