Check the regs, seasons, etc.. I can tell you that hunting in California is hunting, just as regulated whatever means you use. I can also tell you that more powerful slingshots, like wrist rockets, are banned in some cities. Blowguns, knives with blades over 4 inches, and many other weapons are just illegal in this state. Just be careful.

If your plan is to cover miles, than you are going to have very limited time to hunt, fish, etc. The living-off-the-land thing, other than opportunistic foraging, may not fit your timetable.

Assuming legality, that is why setting traps, snares, nets at the end of the day and checking them early in the day might work. But if you are relying heavily for food on this stuff, well, plan on being pretty hungry.

Learning how to be successful in a given area takes time that you are not going to have. Plus, no hunter, trapper, fisherman is always successful even on their home turf. And, of course, the probabilty of success is usually seasonal - not to mention man-imposed legal seasons - that would be difficult to integrate into a travel plan.

Not impossible, but some long odds.

Might be better to ship at least some stuff, including food, to various post offices and mail store on your route.