Is it possible to connect multiple different elements with a single event on a specific element with only CSS3?

Below is my example case; read the comment in the header selector.

*css*

```
#header {
    border-color: darkred;   /* change this along when .nav > li:hover {} */
    border-width: 0 0 3px;
}

.nav > li {
    background-color: darkred;
}

.nav > li:hover {
    background-color: red;
    /*border-bottom: 3px red;*/
}

```

*html*

```
<nav id="header" class="navbar navbar-default navbar-fixed-top">
    <div class="container">
        <div class="navbar-header">
            <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar"
                    aria-expanded="false" aria-controls="navbar">
                <span class="sr-only">Toggle navigation</span>
                <span class="icon-bar"></span>
                <span class="icon-bar"></span>
                <span class="icon-bar"></span>
            </button>
            <a class="navbar-brand" href="#">Example</a>
        </div>
        <div id="navbar" class="collapse navbar-collapse">
            <ul class="nav navbar-nav">
                <li class="{{ nav_home }}"><a href="#">Home</a></li>
            </ul>
        </div>
    </div>
</nav>

```