theoretically maybe just about - also depends on the rabbit. If you look on the Beeman website there is alot of stuff about the minimum ft/lbs for each pest species, not suprisingly they recommend the biggest calibres and the most power, but it is in America so they have the choice ...
With a 12 ft/lbs .177 the pellet can take a while to get to 60 yards, so the unfortunate rabbit would have to hold pretty still for you.
It's a great range for plinking mints at however! You can get kills on Polos at 60 yards no problemo...