Yes. Travelling with your dog is easier than you would think. In general, provided your dog has an International Microchip, a Rabies Vaccination and a Rabies Titre Test they will be eligible for travel to most countries in the world. Countries vary on the number of vaccines required, the length of time following the Titre Test until becoming eligible and whether or not other treatments, tests and permits are required, so check with the relevant authority in the country of destination.
Can I take my dog on an airplane
Yes, in some cases. You will need to check with your airlines and the destination.