I'll agree with Paul...so long as you have safe distances from flammable construction on the inside. For single wall pipe, that's going to be +36 inches, under most state building codes.
This is not one of those stupid rules that can sometimes be seen in those codes...this is for real. Ignore sheetrock, in this calculation. It is the distance from single wall pipe to what's behind the sheetrock that matters.
Brick overlays, stand off mounted sheet metal...these things do help with the distance minimums. Do your due diligence research.
It's not so much that the day after you install the stove and pipe that a wall stud, rafter, or ceiling beam will burst into flame from heat exposure...far more likely, after 10 or 20 years of that exposure, the drying and heat finally come to a combustion point, and a fire results.