You can, even in pinko California. Just make sure you get a bullet button kit for your AK and you're set to go. If you want an automatic, I'm not finding any hard and fast rules for if fish and game allows it, but if you pay your $200 tax stamp and get approved by the sheriff, it's totally cool.
I don't think your decision is very logical, though. An AK-47 is a pretty craptastic rifle -- unless you're going to be trudging for miles and miles without a cleaning kit, you don't need its legendary reliability. If you need the rapid fire, then there are one of two issues here. The first, is that the deer are coming at you in such quantities and ferocity that suppressive fire is needed, then you're going to need at least a platoon sized group here, possibly with airstrike backup, and well-coordinated plans for dealing with the cervine hordes. Either that, or you are a pretty crappy shot, and need to spend some range time before you try hunting.
I don't think your decision is very logical, though. An AK-47 is a pretty craptastic rifle -- unless you're going to be trudging for miles and miles without a cleaning kit, you don't need its legendary reliability. If you need the rapid fire, then there are one of two issues here. The first, is that the deer are coming at you in such quantities and ferocity that suppressive fire is needed, then you're going to need at least a platoon sized group here, possibly with airstrike backup, and well-coordinated plans for dealing with the cervine hordes. Either that, or you are a pretty crappy shot, and need to spend some range time before you try hunting.