From my understanding, you have a design which has the program run from RAM instead of flash and you want to be able to power cycle the board without it being connected to a computer.
Unfortunately, you won't be able to combine the bit file and the contents of the RAM into a single file. However you could write a simple loader module that runs prior to the Cortex M0, which copies the contents of the flash to the RAM.
But I think you might have overlooked a simpler solution. The AHB2SRAMFLSH module allows you to select whether the RAM or flash is mapped to zero. If you were to change your design to make the flash start at zero then you will not need to copy the program onto the board with every power cycle. This change, however, is not just as simple as changing this module's input, as you will need to adjust the position of the RAM in your program's code.