Yes they will. Use the 20 grain Hornady XTP HP and shoot them at 100 yds or less. The 17HMR is sooooo accurate that you can shoot at the base of the ear or through the eye. My 17 is grouping the Hornady's at .452 at 100yds for 5 shots!
Practice a bit and then get a good set of shooting sticks so you're steady.
Have at it and good luck!