No these phenomena are not the same thing. A tropical cyclone is an intensely developed low-pressure cell that usually occurs over warm oceans. Its diameter can range between 200 and 2 000 km. Tropical cyclones can last for a few days.
A tornado is a violent rotating column of air that extends from a thunderstorm and is much smaller in diameter, typically less than a few hundred meters, but some are larger than 1 km. They usually occur over land. Tornados are generally short lived and can be on the ground for a few seconds to minutes. Some have been know to be on the ground for over an hour but these are rare. If a tornado occurs over water is called a water spout.