It may be possible- but a .22 caliber pellet rifle will not RELIABLY kill a deer, and it is probably not legal in your area. A .22 pellet simply does not have the energy to damage nerves and organs to produce a quick and humane kill. .22 rimfire rifles have been used to kill deer, frequently by poachers. However, there have been many more deer wounded by .22s that would die much later from an infection. While it may be possible, it is not a good idea, and definitely not sportsmanlike hunting.
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