Aug 30, Yes, but they can choke on seeds and the tough green hide. So if you give them watermelon give them very small thin slices without any seeds at all or green. Is there anything better on a summer afternoon than a big juicy wedge of watermelon? The sweet, light flavor can't be replicated regardless of the time of year. Feb 26, Tomato (red fruit ONLY; no stems or leaves) Tangerine (NO PEEL – segments only) Watermelon. RABBIT SAFE VEGETABLES- Alfalfa Sprouts. Rabbit - Best Watermelon Carving!