No it is not possible (in the USA) Crosman only makes the Phantom in a 177 Caliber. However I believe the Phantom .22 is made for Canada and Yes it will kill a bird.
Yes, I suggest using Hollow point ( Hunting ) pellets
For smaller animals, it should be sufficient at short distances.
If you have the original C02 bottle. Crosman warns you NOT to use it. see the link below for the owners manual from Crosman.
What condition is it in..
Crosman still supports this air pistol. See the link below.
The Chinese B-3 is rated at 450 FPS by the Manufacture. This is considered to be slow in the world of .22 caliber air rifles. As an example the Hatsan model 95 fires a .22 caliber pellet at 800 FPS and a Crosman Nitro Venom fires a .22 cal pellet at 950 FPS.
Yes it is sufficient, but I suggest using hollow point hunting pellets for a clean kill.
Crosman never made a .22 cal BB rifle. They made several .22 Cal Pellet rifles over the years. Several are still in production.
Crosman offer a free service to locate shops that repair older Crosman air guns. see the link below
Crosman has made several model .22 Caliber pistols. Please state the model number. The condition of the gun and is it still working?
Crosman still has some parts available for this model. See the link below.