Not sure but I knew nothing of killer rabbit when he spawned on me and he spawned so close that by the time I even saw him I was dead. LOL
Not sure if I was just in the right place exactly where he spawns or if he always spawns that close. If it is the later then it would be mighty hard to run away All I know is I just saw the 1 second cut scene with his face and then he instantly one hit me.
I never got to kill my killer rabbit as I was low level as well and only did one damage and lured him off the side of a hill/cliff where he would get stuck and he unfortunately slid into the river and was never seen again.
I'd think you could make him spawn and then run away but you'd need to remember where he spawned to come back to that area later. But I'm not sure as I just kept reloading my nearest save game and trying to kill him till he slid off the cliff and into the river as I said.
