You can! What is important to know if you are traveling with your pet from the US or Canada is that first and foremost, check in with your current veterinarian to ensure your pet is healthy and that their disposition is acceptable for travel. Travel can create stress on your pet, so be sure to discuss with your veterinarian any concerns.
Second, your pet must have up to date vaccines, especially their rabies shots, whichmust be administered 30 days before travelling. A health certificate issued by a licensed veterinarian must be completed within 10 days of the departure date of your flight, no later. Travel officials can deny entry to the country should the papers be expired by even one day. Travel papers can take between 24 to 48 hours to prepare, plan the timing carefully!
Finally, be sure to check in with the airline company when reserving your flight to ensure they accept pets on board as a carry on or to reserve space for the kennel. Most airlines have weight and size restrictions as well as specifications when bringing your pet on board.