Only if you hit it in the head , the small bullets will not kill a turkey fast enough to find it easly. I shoot Turkey with a bow and even using a big expandable broadhead they will run a pretty good ways if you don't get the spine. I shot them with Judo points , rubber blugon points and the broad head works best , the massive bleeding ensures it'll die soon. the Judo point ripped a 3/4" hole strait through and the bird ran almost 200yds before dieing , luckly it ran strait accross a field so their was no tracking it but even with a broke wing and massive internal injury that can go along way realy fast. I've even seen them shot with 80gr bullets out of a 243 and run 70-100yds.
will it kill it , yes , will you have to look for it , more than likely , can it possibley never be found , a good chance
so the best be it either a killing shot to the head or a massive hole to the body. I shoot squirrls with my 22 in the head out 50-60yds so i don't see why a turkey would be any harder but I would use a good high velocity hollow point. even if you shot them in the body the high spped hollow point would be a better choice as the little heavy solid may just zip throug.