I did some work to attempt this sort of thing using a kinect, back when they were newish. We were trying to automate the sizing of custom-fitted clothing. It was easy enough to get rough measurements, but very difficult to get repeatable and accurate measurements.
I suppose if you were just looking to see which of a set of sizes would work best for a person, it might be easier. Also, today's technology is better and I didn't really know what I was doing. :)
But still... fabric measuring tapes are cheap and easy to use, and they won't invade your privacy or try to sell you stuff like phone app developers inevitably will.