First, yes, you can charge it through the wall. The Nintendo Switch docking station power adapter can be used with the Joy-Con charger. Second, the Joy-Con charger (mine at least) needs to come with a USB to USB-C cable. This cable can be used with a power bank to charge your Switch! Third, you don't need to connect the cable to the Nintendo Switch dock to charge it. If it's a high-power USB port, it's most likely charging Joy-Cons that are plugged into the charger. In other words, yes, the…