The rabbit population becomes a problem in Victoria BC.

Well, for starters, the rabbit "problem" in Australia is a different issue entirely. There is a lot more agricultural land in Australia, much less than there is in Victoria. Victoria is composed predominately of woodlands, which would be a sustainable resource for the rabbit’s dietary and living needs without impacting humans. Secondly, the Victoria rabbits are of the domestic breed, discarded house pets mostly. Even though they are living in the wild, it would be a cruelty issue to hunt and use them as a food source.

Which brings me to your point of "shipping them overseas for hungry persons in need". Cities don't simply 'ship' food elsewhere in the world. Your proposal seems ludicrous, would you expect a few citizens to go about, shooting all of the rabbits, finding some sort of preserving agent, cargo shipping facility, etc and then just sending them off? I don't believe some third world country would be overly thrilled to receive a crate of decomposing rabbit carcasses full of gunpowder and bullet shards. It would make more sense to grow large quantities of grain, perhaps by shutting down a factory farm and turning the land over to vegetation-agriculture. It would be more cost effective and efficient if you're that worried about your starving fellow citizens of this world.

The rabbits of Victoria don't cause any harm, they eat weeds, can live in non-human occupied territory and some would even call them a welcome sight to see on the island. While a lot of them do stray onto yards, and vegetable patches, they have a minimal impact overall. Whatever method you propose to "get rid of the problem" (veterinarians, "shipping them overseas", hunting etc) would be far more costly than just leaving them be. In fact, their presence attracts tourists, and generates revenue for the city and local residents.