Yes
Shooting a pellet gun at your cat is extremely dangerous and cruel. It can cause serious injury or even death to your cat. Please do not harm animals in any way.
No, a pellet gun can't kill a bear it will only make it angry. There for it will eaither attack you or just ignore it.
I can't tell you the law on shooting domestic animals, but yes it is possible to kill a cat with a .177 provided you do a head shot.
No... Corrected answer.-------------- It depends on the caliber and power of your Pellet gun. But Yes it is possible. In fact many pellet guns and rifles are used for rodent control.
Yes
If you are talking about a PCP (PreCharged Pneumatic) rifle. With a .45 caliber pellet, then "Yes" It can. I don't believe there is a 40 Caliber pellet gun.
Yes. Under the right circumstances.
It is possible, Yes, But it depends on the caliber, Weight of the pellet, the FPS of the gun. I suggest using a Pellet rifle not a pellet gun. I suggest a head shot using hollow point pellets. Also a license may be required to hunt the goose
Depending on where you live and the local law. Yes a pellet gun will kill a squirrel. I suggest you use "Hollow point" hunting pellets.
Yes or any small rodent.
Given the right set of circumstances, yes.