As several folks said the 9mm has enough energy to kill coyotes, but 9mm cartridge even in a carbine will not work at extended ranges that often present themselves when hunting coyotes.
I've found that you also need a weapon that delivers excellent accuracy and coyotes with a six inch kill zone needs a gun/cartridge combination that will deliver this kind of accuracy at any ranges that you expect to shoot at.
If you keep your shots within the accuracy potential of the rifle/cartridge combination your shooting the 9mm pistol cartridge will work.
I've been hunting coyotes for the past 45 years or so and have killed a few with a handgun, but have found that a flat shooting rifle with minute of angle or better accuracy equipped with a good optical sight works much better, at least out here in open Western country.