Can my dog get kennel cough if he's had the Bordetella vaccine?

You can offer it to your dogs, but it won't do any good. Kennel cough is the common name for an infection of the upper respiratory tract with a combination of pathogens, most commonly Bordetella bronchisepticum and Parainfluenza virus - it will take antibiotics (for the Bordetella) to resolve the infection. You can vaccinate your dog to prevent infection, this is recommended before putting your dog into kennels. However your dog does not have to be kennels to catch the infection, it can be caught from any infected dog in any environment (e.g. the park).