It can, but in this case, it won't. The shooting bench collapsed at the range and put a few giant gouges down the side of my gun. I've spent 5-6 hours sanding it down and getting it ready to stain. I'm not doing it again. Depending on how bad it turns out, this stock may just end up getting a spray paint camo. A brand new finished stock is only $125 from the factory. Here is a picture of the gun before the bench collapsed: (it's sporting a cheap scope for this pic, but a better one was on it)
If you already did all the shaping, a chemical strip wouldn't require much sanding...just sayin. I fully understand not wanting to do it again though if the cost/benefit ratio doesn't work.