In the late, great Marcel Pagnol's masterpiece 'Jean de Florette', M.Jean's rabbit farm was based around the long eared rascals tucking into an Asian member of the curcurbitae as their primary food source so (unless there are wily peasants cementing your water supply to stop 'em cropping) I expect the rabbits your way would munch their ways through a few courgettes, no problem....