Makes no sense as the conservation law states .177 or larger and over 600 fps. You can shoot at targets off your back porch as long as there are no local ordinances saying otherwise because airguns are only considered firearms in Conservation law, not criminal law. Same deal with bow and arrow. You can shoot targets in your back yard with not restrictions because it is not considered a "firearm: unless you shoot it at a critter. For example my .45 Saver 909 with 245Gr boolets shooting at 590 fps would not be legal to shoot a red squirrel with because it is under 600 fps.
"Air guns may be used to hunt squirrels, rabbits, hares, ruffed grouse, and furbearers that may be hunted (e.g., raccoons and coyotes) and unprotected species. Air guns may not be used to hunt waterfowl, pheasant, wild turkey, or big game."
"Air gun - a firearm that uses spring or compressed air (not gunpowder) to propel a single projectile that is .17 caliber or larger and produces a muzzle velocity of at least 600 feet per second. Smooth or rifled bore air guns are allowed."
"It is illegal to discharge a firearm or bow:
* so that the load or arrow passes over any part of a public highway,
* within 500 feet of any school, playground, or an occupied factory or church,
within 500 feet of a dwelling, farm building or structure in occupation or use unless you own it, lease it, are an immediate member of the family, an employee, or have the owner's consent."
If you have neighbors on either side less than 500', you can't shoot at a critter with an airgun even if your back yard is 2 miles deep but you can shoot at targets as long as pellet doesn't leave your property(and you aren't in "the other NY").
I don't know(or care) about any part of NYS South of the blue line but a lot of the "mail order" retailers won't ship airguns to NYS even though all the restrictions are NYC and Long Island, not NYS.