No. Seattle, Washington is a city in Washington state.
Washington D.C. is the capitol of the United States and is located
between Virginia and Maryland.
The D.C. in Washington, D.C. stands for District of Columbia.
Although it is the size of a city, the District of Columbia is
neither a city nor a state, but a unique entity under the control
of Congress. It sits on the Potomac River, on the Maryland side,
right across from Arlington,VA.