Theoretically, you could do it, but it would present a number of problems.
First, the cartridge would have to headspace on the case mouth like a 38 Super or 45 ACP. Not a huge problem with short cases, but with longish cartridges it will prove difficult in application. This issue killed the 400 Whelen, 10.15X57mm, and seriously impaired the 35 WSL, 351 WSL, and is one of the reasons why rifles typically use bottlenecked cartridges. Sure, some cartridge developers went ahead anyway, but very few.
Second, the cartridge would have to feed straight into the chamber without any angle. Longish cartridges tend to be difficult to feed. Not as big of a problem with lower pressure cartridges, but a serious issue when you start to develop higher pressure. 120 years ago, they solved the issue by tapering the cartridge, but then you lose the needed case diameter for the .357 bullets. When you consider this, it pretty much eliminates most magazine-fed rifle actions.