That will depend on the glue used. With hide glue soaking will probably allow you to remove the snake skin but that isn't a given. With TB glue, no.
When I finally removed the sinew from the bow I was talking about, also snake skin backed I was able to peel the combo off in one "'sheet without taking any wood with it. I then soaked the sinew/skin "sheet" to dissolve the hide glue so the wood itself didn't absorb any moisture.