That rifle will probably shoot a lot better than that. If everything is tight and right with the rifle, then the problem is most likely the shooter. As you described it, I am lead to assume that the rifle and scope came together, already mounted. If that's the case, remove the scope, and check all the mounting screws for tightness. If even one screw is less than tight, pull them all, de-grease all the holes and screws and remount everything using Non permanent loctite thread cement. Re-position the scope so that it's optimal for you. The 270 Winchester is a great cartridge. It has about the same power and recoil as the 30-'06, or a little less, depending on the ammo you use. So, yeah, it kicks some....enough that you could be flinching a bit...(Not me! I never flinch! Yeah, right....)
What I like about your rifle: It has a Walnut stock; it's got a Leupold scope; it's a 270 Winchester. I think you will like it too, once you get settled in together with it.