Can wild birds eat all the nuts that we do,ie walnuts,almonds,brazils and unsalted pistachios,cashews?

Coming to my feeders are:Great/blue/long-tail/coal ****, nuthatches,greater spotted woodpeckers, blackbirds,robins and one dunnock.We never have any finch type breeds and i'm hoping the two hundred redpolls in the nearby trees don't pay us a visit !