I'm not being sarcastic: can you eat pigeons that live in the city?

[Xithras]

119. If you're really hunting, you're better off with a classic Sling.

A typical cheap commercial slingshot like you have in your picture is going to fire at about 100fps (they use surgical tubing, which doesn't have the greatest properties for weaponry) . A homemade slingshot will typically achieve even less than that. You can spend bucks to buy professional hunting slingshots capable of hitting nearly 400fps, but nobody hunting pigeons for survival is going to have one of those. A child with an ordinary sling, made from a couple feet of string and a bit of old leather, can throw a rock a hundred yards at 150fps. And if it breaks, you can whip up a new one in minutes. If the goal is really to come up with a LEGAL way to hunt small game in a survival situation with a minimum of time and cost, nothing beats a sling.

They're trivially easy to make, can be used by hunters of almost any physical stature and condition, and can drop most small game and predators. With regular practice, most people can get reasonably accurate with one in only a week or two (accurate enough to hunt pigeons at close range anyway).