I think Dfariswheel is spot on. Don't mess with any existing parts.
I don't know if wood shims would be the best answer either. The SKS tends to use the wood stock in compression to achieve a tight fit of trigger group and receiver, and this is why so many SKS's don't achieve their potential for accuracy. It also affects trigger pull. Check out an SKS trigger group and see how the pressure on the disconnect thingy (sorry - I don't have a parts list with proper terminology in front of me) sticking up in front affects the trigger pull.
If you wanted to keep the trigger group from rattling around, I'd recommend some sort of thin brass to shim between the trigger group and receiver where the "ears" hold the two together in the back. Something non-marring, non-permanent, and non-drastic. Also something that can't work loose and cause a stoppage. Aluminum tape like auto parts stores sell for body work might work well, or a small piece of soda/beer can sidewall. Wrap it to achieve a snug slide fit.
I've seen a lot of various Mauser type rifles where some sort of cloth or fiber batting was used to shim the top handguard to the stock to keer it from rattling. Too much could put pressure on the wood to cause it to crack or split. You just want to firm things up a bit, not make them absolutely rock solid.