visibility

html,
body,
svg {
  height: 100%;
}

<svg viewBox="0 0 220 120" xmlns="http://www.w3.org/2000/svg">
  <rect
    x="10"
    y="10"
    width="200"
    height="100"
    stroke="black"
    stroke-width="5"
    fill="transparent" />
  <g stroke="seagreen" stroke-width="5" fill="skyblue">
    <rect x="20" y="20" width="80" height="80" visibility="visible" />
    <rect x="120" y="20" width="80" height="80" visibility="hidden" />
  </g>
</svg>

<button id="nav-toggle-button">
  <svg
    xmlns="http://www.w3.org/2000/svg"
    width="24"
    height="24"
    viewBox="0 0 24 24"
    class="button-icon">
    <path d="M16.59 8.59L12 13.17 7.41 8.59 6 10l6 6 6-6z" />
    <path
      d="M12 8l-6 6 1.41 1.41L12 10.83l4.59 4.58L18 14z"
      class="invisible" />
    <path d="M0 0h24v24H0z" fill="none" />
  </svg>
  <span> クリックしてね </span>
</button>

svg {
  display: inline !important;
}
span {
  vertical-align: 50%;
}
button {
  line-height: 1em;
}
.invisible {
  visibility: hidden;
}

const button = document.querySelector("button");
button.addEventListener("click", (evt) => {
  button
    .querySelector("svg > path:nth-of-type(1)")
    .classList.toggle("invisible");
  button
    .querySelector("svg > path:nth-of-type(2)")
    .classList.toggle("invisible");
});