纯css Chessboard与div,没有类或ID,是否可能？

<div class="chessboard">
  <div></div>
  <div></div>
  <div></div>
  <div></div>
  <div></div>
  <div></div>
  <div></div>
  <div></div>
  <div></div>
</div>

.chessboard {
  display: grid;
  grid-template-columns: repeat(8, 1fr);
  grid-template-rows: repeat(8, 1fr);
  width: 400px;
  height: 400px;
}

.chessboard div {
  background-color: #fff;
}

.chessboard div:nth-child(odd) {
  background-color: #000;
}