I have gotten some rabbits & birds with a slingshot (while skipping school in the 70's) & we roasted them on a spit over an open fire. Another easy weapon to make is a sling. Two lengths of cord & a small piece of leather. It takes a lot of practice to master & I never did get good enough to hit a rabbit but I have bounced some dirt clods off of my friends at times.
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QMC, USCG (Ret)
The best luck is what you make yourself!