Well, in theory you could make hidden power pins, when the pin is hidden on the part and labelled and thus automatically connected to VCC, GND, etc. This used to be the setup with old <V.5 KiCAD libraries. However, this is now discouraged (I don't like it either),because it can cause more problems than the small inconvenience that it solves. First of all, you are now bound to the power lines defined in the part and it makes things like having separate GND for different parts of the schematic, etc. I think it is a good thing to have every connection visible on the schematic and not having nets automagically connected in the background.
So in practice, yes, you will need to list all the power pins. This is not unheard of, seen t on many schematics. Or alternatively, you could add power pins to one of the identical units, so say unit 'a' will have two extra pins for power.