He might, but carbine stocks are unobtainium.
I use the Hotstuff from Lee Valley. It comes in a few viscosities. I see other brands with more choices of viscosity at hobby stores.
I use surgical tubing to get it all very tight and ready. This works best when it is a crack that can be tightened without big gaps. And try for a clean unmolested crack inside.
When you get the glue, get the remover as well. Keep it ready as you may need to get your fingers unstuck and get it off of where you did not want it to go.
It can run fast and stain your stock so be careful and ready to clean or refinish the stock if you have to.