Not exactly the SAME EXACT question, but it has lots of info about the .17HMR for coyotes

17hmr 22mag coyotes under 100 yds

22 vs 17 hmr

best rimfire cartridge varmints

No, none of the rimfires are ideal, but yes, the .17HMR will work for a skilled and responsible shooter within 100-150yrds. Personally, I'd recommend the 20grn loads for better penetration (mostly because of "thicker" bullet construction).

No, it isn't going to be a 200yrd+ coyote rig, and yes, you WILL have to sit and watch coyotes hang up out of range in frustration, but it IS a good close range coyote round, and offers a good advantage for "quieter" shooting than the centerfires (not much quieter mind you), and it DOES fit the laws in certain rimfire only at night states.