There is no native way to flash a processor from LabVIEW. You'll either need to call an external program to do it (if you have access to such a program, you can use System Exec to run it), or you'll need some code already on the processor that can receive new code over some interface (serial, CAN, etc) and write it to the processor's flash memory. I've seen sample code for this for Microchip's dsPIC processors, perhaps similar sample code exists for your system.
If you happen to have access to the LabVIEW Embedded Toolkit, and it supports your processor, then there may be an easier way to do this.