With a MacbookAir (mid-2012) using a mini DisplayPort to VGA adapter plugged into the Thunderbolt port, can you configure the external monitor to FULLY display in portrait mode yet keep the built-in display in landscape mode?

With an 11"-inch Macbook Air (mid-2012) using a mini DisplayPort-to-VGA adapter plugged into the Thunderbolt port:

Can you configure an extended desktop with an external monitor (20") displaying full portrait mode (1200 x 1600 resolution) and keep the built-in display in landscape?

I'd like to see something like

External monitor / Built-in display

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