This is commonly known as "stabilizing" - while it sounds like a great idea, there are more than a few drawbacks, particularly for this type application. (sorry, gonna burst your bubble

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- causes warping in larger pieces of wood
- causes swelling
- weight. the material will be 3-4x heavier depending on species (think ebony weight)
- cost - enough epoxy resin to submerge a stock in is not going to be cheap
- cost - the process takes a long time, longer for larger items, a couple days.
- no finish options - this is now basically a piece of plastic. you can polish it, paint it, but thats about it.
There are 2 ways to do it, with pressure and with vacuum - pressure is generally preferred. The guys near me (Woodchuckers) do their own pressure stabilizing for small turning blanks, pen blanks etc & showed me the setup - really neat, took me through the whole process, ins and outs. You could get setup, there are "home" rolled kits out there (mileage may vary) But the biggest problem is that you are probably not going to find anyone with a reservoir large enough for a whole stock.
Grips, fore ends - even butt stocks may be too large.