Yes, a sodium-potassium pump is active transport.
The video reference highlights that the sodium-potassium pump requires binding sites for three sodium ions and two potassium ions to function. This process doesn't occur passively; it requires energy input in the form of ATP (adenosine triphosphate). Active transport, by definition, is the movement of molecules across a cell membrane against their concentration gradient, and this requires energy. The sodium-potassium pump moves sodium ions out of the cell and potassium ions into the cell, both against their respective concentration gradients. This energy expenditure distinguishes it from passive transport mechanisms like diffusion or facilitated diffusion. Therefore, the sodium-potassium pump is a prime example of active transport.