I don't think so.
That card is just almost 12.3" (312mm).
The Bitfenix Prodigy M site says this:
http://www.bitfenix.com/global/en/products/chassis/prodigy-m#support
"Q: Will the XYZ Power Supply or ZYX Video Card fit inside the Prodigy M?
Video cards at 9.5inches or less will have 200mm of power supply clearance
Video cards at 11 inches or less will have 160mm of power supply clearance
Video cards at over 11 inches will have 150mm of power supply clearance."
It doesn't specifically give a maximum length so it's a bit confusing but it doesn't seem likely.
If I calculated this correctly it sounds like you've got roughly 11.4" maximum for a 150mm Power Supply. I'm not sure why they don't just state this because obviously you can't use any length.