It is not possible. Explain why.
No. Each domino covers two adjacent squares with opposite colors. The diagonally opposite squares that were removed from the board are of the same color. This means that there are now two more squares of one color than the other. If you try rearranging the dominoes on the chessboard, you can cover 60 squares with 30 dominoes, but you will be left with two uncovered squares of the same color. Squares of the same color cannot be adjacent, so they cannot be covered by the remaining domino.