I haven't used a crossbow before, but just by looking at the specs of that one, I'd say it should do exactly what you're wanting it to do. 315fps is faster than most compound bows shoot (even thought they're rated up to 350+fps these days, that's only with the draw length/draw weight set to get the most speed), so having the "power" wouldn't be an issue.
As with shooting anything, shot placement is key. It doesn't matter if you shoot an arrow at 100000fps, if your placement is off. Hitting something with an arrow isn't going to drop it in its tracks, usually, unless you spine it. So be prepared to do a little tracking. Remember, the bigger the blood trail, the quicker the kill and the easier it will be to find.
I'm sure there are others that can agree/correct me if needed. I know there are some bow hunters here, not sure about crossbows though.