I doubt that. The .454 has a SAAMI MAP of 65 KPSI. The .44 Mag is 36 KPSI and the .357 is 35 KPSI. The 77/XX action uses a rear locking bolt, a design that is perfectly suitable for current chamberings in the rifle, but supreme strength is not great with that design I think.
Of course if you don't care much for your face...
My sample of one says that accuracy in the MOA realm is doable with the 77/44, don't see any reason for the .357 model to do worse.
100 yard target w/300 gr. paper patch
End of the road: