You should be able to. Bolt face is the same, and browning is chambering the prc in what I'm assuming is their short action. (I'm not a browning guy so I don't know their lengths) and they have Prc magazines for the x-bolt so it should feed fine providing they fit your bottom metal. It might feed just fine out of your wsm mags also.
Find a smith that's knowledgeable in Brownings, might take a few phone calls.