不，你不能用本地边界。但是您可以使用:before元素来伪造它:

null

h2 {
  position: relative; /* make title relative */
  display: inline-block;
  margin: 5px 0 5px 0;
  padding: 0 0 0 5px;
  background-color: #eee;
  border-color: #aaa;
  color: #000;
  border-style: dotted dotted dotted solid;
  border-width: 1px 1px 1px 5px;
}

h2:before {
  content: "";
  position: absolute;
  height: calc(100% + 2px); /* 2px is the addition of the border-bottom (1px) and the border-top (1px) */
  width: 5px; /* same size than the border-left */
  background-color: #aaa;
  left: -5px;
  top: -1px; /* size of the border-top */
}

<h2>A title</h2>