I also find that it’s toxic to bunnies, but I can’t find any source for those claims. All parts of the plant except the peeled root are toxic to everybody, both humans and animals, but I’m guessing your father gave your bun a piece of peeled root? It seems fine for mice and dogs.
You could call a vet and ask. If jicama is commonly consumed in the area you live in, vets might know off hand if it’s toxic for rabbits. A vet could give activated charcoal (don’t do that yourself) but that only works as long as the poison, if there is poison, is still in the tummy. Other than charcoal they can give supportive care with fluids and electrolytes etc.
Plant poisoning as a rule give symptoms within the first 6 hours after ingestion. Signs of poisoning are lethargy, seizing, drooling, unresponsiveness etc. Rabbits are physically unable to vomit, so there will be no vomiting even if the bun has eaten something toxic.