anyone who would attempt to kill a deer, especially at any distance with a .22 is going to wind up with more wounded animals than any meat on the table. I have yet to shoot a deer in the head but I have tried to shoot other things of equal size in the head plenty of times with a rifle better than any .22 and it is harder that it sounds. can it be done?, absolutely. should it be done? probably not. In a true survival situ their are easier and more ethical ways to catch a deer. a good poachers snare works for all the poachers around these parts.
Get a .22 for smaller stuff but for God sake if you are going to shoot at a deer do it a favor and use a more lethal round.