Yes it will. May not be the best caliber but with proper shot placement will kill within that range. Have killed several with 22 magnum. Recovery can be difficult at times with yotes with that caliber.
I have taken Coyotes with both a .17 HMR and a .22 Mag. Both called in close with a Foxpro. They will spin and run unless you hit them in the head or neck. Attached is a pic of one I took with my CZ 452 in HMR.
I've shot several coyotes with a 22mag. The key is shot placement. If you want to put your hands on him right there, shoot them in the head. If not, shoot behind the shoulder in the heart and lungs and let the buzzards tell you where it is.
I’ve used my 22-250 for years but can’t find FP, BTHP, 55 gr. So I hand loaded some Barns X 50 gr. But can’t see where I hit them but they DRT. So I bought a Savage AR and loaded some 77gr. Sierra BTHP. Let’s see
A thrown rock connecting in the right place will put one down. And it's easy to say, make a head or neck shot and it will kill him. If you are presented with that then it's an easy call, if you aren't then it's easier to say that than do it. We hunt them with 6mm creedmoors and have lost a couple with them. One we recovered was dragging 5 feet of guts behind her when she fell dead. Yes it was a bad shot, but she was recovered because of the damage even a bad shot created. They are tough suckers. Yes, hit them right and they will fall, but after killing my fair share, that perfect shot is a rarity. If that is all you have then go coyote hunting, but to cleanly kill when that perfect shot is not presented....well, there are better chamberings out there for coyotes. Just my opinion......
I just posted a thread with pics of several I’ve killed in my backyard. About half were killed with 22 mag. Head shots. But also these were all within 30 yards. The others were with 223 and 22-250.
So yep. A 22 mag will get it done. Sensible range and placement.