Yes, it can be safely done and I have had one of mine done, it is safe and shoots GREAT. I had a .22 LR Versa Pak barrel chamber reamed to .22 Mag. And again yes, the .22 Mag is the same as .22 WMR (Winchester Magnum Rimfire = WMR)....<><....
It took my gunsmith 15-20 minutes to do it while we talked. He has done many, both handguns and rifles. The rifles were all single shots. IIRC he told me a different reamer is required for a revolver cylinder vs. a rifle chamber, I don't recall the difference, piloted or non-piloted or something similar. He knows, and that was what was important to me....<><....