You can, all you have to do is distinguish the data-target
attribute with a unique class or identifier for the dropdown menus, for example:
For your first drop down menu
<a class="btn btn-navbar" data-toggle="collapse" data-target="#first">
For your second dropdown:
<a class="btn btn-navbar" data-toggle="collapse" data-target="#second">
Then you can add this unique identifier to the container with the crash navigation:
First
<div id="first" class="nav-collapse"> ... </div>
Second
<div id="second" class="nav-collapse"> ... </div>
Demo: http://jsfiddle.net/F2tYu/3/
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