NO. A rat needs to eat a small proportion of bait before it accumulates a lethal dose, therefore your dog would only be coming in contact with a very small percent of rat bait that has been ingested by the rodent. Secondary poisoning is not very common with modern rodenticides.
If you suspect your dog has been poisoned do not hesitate to call your vet who will administer a vitamin K injection as an antidote.
Posted in: Rats/Mice