@jlb8soccer,
It's impossible based on parity. Color the 8x8 grid as a checkerboard. Assume you start on white. Your first move will take you to a black square. Your second move will take you to a white square. Odd numbered moves take you to a black square, and even numbered moves take you to a white square. It takes 63 moves to cover the board, so your last move is to a black square. However, you're required to end on a white square.