I do not believe you will be able to do what you are proposing. I am not sure how you are intending to connect to the power supply. If you intend to connect directly to the power supply, opening or removing the case will void the chassis warranty. If you intend to source through a DAQ card in the chassis, DAQ cards source a maximum of 1 amp per card.
The 12 V line provides 4 amps. The 5 V line provides 20 amps. You can determine the available amperage by subtracting the sum the requirements for the PXI controller and modules you intend to have in the system. Also, if you use a PXI embedded controller, you could run into issues of the controller rebooting because the voltage drops out of spec when you source from the power supply.
Julianna Forrest
Applications Engineer
National Instruments
http://ni.com/support