You could, but the expense of having a chamber cast made and a reamer cut to merely replicate this PARTICULAR wildcat would be cost prohibitive. If the barrel does not shoot well, and I think it will shoot just fine, then it will be time to decide on a more commonly available belted round, or at least one for which the barrel maker you choose has a reamer and for which you can whip up some ammo without the expense of custom dies as well. The round you have would be very closely replicated with a new barrel in 300AI, Jarret, WBY, STW, ICL Grizzly, and a few others I cannot think of right now that are essentially the same.
I am still, however, putting money on this barrel shooting quite fine. Very rare for these barrels to truly get worn out.