Maybe...maybe not.
A way to test, that I've used several times, is to make temporary epoxy shims.
Wax the receiver, wax the inletting, then add just enough epoxy to stabilize the receiver.
I call it dot-shimming. Not a true bedding job, and if the results don't satisfy, remove 'em.
If they do improve the accuracy, then do a true bedding job. Same for the barrel.