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.