Sure it's possible. The bigger the cartridge, the heavier the rifle you want to use to shoot it. Heavier rifle = more recoil energy absorbed. And there's some technique involved, how to hold and how to stand, so that you absorb the energy gracefully instead of it dislocating your shoulder.

You can shoulder-fire .50 BMG too (much more powerful), if you can support the sheer weight of the rifles chambered for this.