I would reccomend setting a clear condition on the rabbit. (number of lives / hit points) And if there is one, i appologize for this comment because i didnt reach one. made it to end with 8 hits on rabbit and felt like i cheesed it.
I agree, if i update the game in the future i will add some kind of health system. At the minute its just try to get to the end with the least hits you can. =)