No, You can't use that. I don't know how people even get away with making them for sale. Even if you combined 2xSATA connectors, you wouldn't get the power that you need for an 8-pin PCIe connector. A single SATA connector doesn't even have enough power for a single 6-pin connector. Also, if you get a power drop while your hard drive is being written to, your drive could be corrupted. Don't use SATA as a power source for anything but SATA devices.
Also, the Quadro K4000 only has a single slot, blower type cooler, and is not intended for gaming. Pushing it hard may overwhelm the cooler, and damage the card. I think it is roughly equal to a GTX 650 Ti, or something like that, so it might be possible to swap a cooler from one of those.