If you own a larger caliber rifle? Use it. If not? Yes the 270-winchester will kill a moose. BUT why use a 270, when there or better calibers for the job?
My wife killed her moose with a 300-win mag. Would the 270-winchester have worked on her moose? Yes. Did she trust her 270-winchester, when she already owned a 300-win mag? NO. She shoots her 300-win mag very well. She has killedtons of Antelope, Whitetail,Mule deer, Elk & 1-Bull Moose. With her 300-win mag. She has also killed several animals with her 270-Winchester. The 300-win mag, just kills them deader.

As a side note I found out why they call a moose tag a once in a lifetime tag. The answer is simple, once you pack one out you will never want to do it again.[:-]