The progression from hunter/gatherer, to formal agriculture is a major reason for man’s success,
Hunting, however, is a great start when agriculture fails.
Hunting is a great sport but ultimately trapping and fishing are going to feed a family a lot for longer and with much less effort, as they multiply the effort of a single person and could provide for a surplus of food for trade.
Trapping of birds is the simplest of affairs, and ,while rather cruel,can be done with fish hooks and bait,
or possibly nets, and other falling traps, even mouse traps.