Absolutely! We actually have a ridiculous amount of wild turkey roaming the public areas. It's kind of crazy because they nearly take over full fields. As for quail, I know we have a lot of wild quail on our property on Palomar Mountain, so there's gotta be more roaming the public lands.
I run a hunting club up there and we currently are raising and releasing loads of pheasants on the mountain to help repopulate the area (and for hunts). If you choose to come to San Diego for a hunt, let me know and I, or one of my guides, can meet with you and show you around the mountain areas so you can see the most populated areas that are best for hunts