There are three critical measurements two of which are more critical than the third.
Tenon length is moderately critical and, with the coned breeches common to many custom actions, a little difficult to measure with out proper guages.
Thread pitch diameter is slightly more critical since , if it's too large, the barrel won't fit! Surprisingly, threads a little on the loose side still shoot very well. They are just hard to like.
The headspace measurement is, arguably, the most important. If one is wanting to screw the barrel on and be able to continue using his old brass, headspace has to be within +/- .001" with zero being preferable.
The Stolle actions I have barreled were precise enough that barrels were virtually interchangable ;as long as the threads had some clearance. Pitch diameter and headspace were both within .001".
So, it can be done if the specs are given to the gunsmith and those specs are correct. Chamber dimensions are determined by reamer dimensions however and one cannot be certain all reamers are the same. Send the gunsmith an old barrel, or the breech end thereof, and he should be able to duplicate tenon dimensions and headspace for you. Expect that chamber diameter might be tighter or looser as determined by the dimensions of his chambering reamer. If you want a tighter thread fit, plan on mailing some test pieces back and forth. Regards, Bill.