You can plug in a Leaf with a regular 110 volt outlet (using the standard trickle charger that comes with the car). It will take overnight to get a full charge.
It looks like your picture is for a 240 outlet (and probably a dryer outlet). If you are thinking of buying a a "quick charger" for the the Leaf, then you MAY be able to use the wire (not sure of the gauge) and install a new plug.
Take a look at Clipper Creek charging stations--you may be able to get a wiring diagram. Or, you can call them--I spoke to their rep and they were very helpful.