Can you use iPad 1 cable for powering iPad 4?

I have the longer cable from my iPad 1. Can I connect the lightning to usb end on the iPad4 cable to the longer 6' cable to the 10W power cable directly? I know it will not charge as quickly but will it damage the iPad4 in any way by using the lower wattage?

Lightning to 30-pin Adapter (0.2 m)

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