Had killing a "few sheep" with a bow been enough to compare to the P&Y WR I would give it to you...
Getting in bow range with a compound bow is not that difficult, and was far easier even 20 years ago. I believe TR killed his big sheep before '90. The current population is probably 1/4 to 1/3 what it was then...
He was not hunting that specific sheep, but rather stumbled into him on the way out in a snowstorm. That chance encounter "made" him. It certainly was not his writing nor work ethic.