Tab parsing is looking for a specific HTML structure. If you supplied that same structure in a Custom HTML field it'll work. Example as follows.
Code:
<div class="cbTabs" id="cbtabsSTUDENTS">
<ul class="cbTabsNav nav nav-tabs">
<li class="cbTabNav active" id="cbtabnavSTUDENTS1">
<a href="#cbtabpaneSTUDENTS1">Student 1</a>
</li>
</ul>
<div class="cbTabsContent tab-content">
<div class="cbTabPane tab-pane active" id="cbtabpaneSTUDENTS1">
<div class="cb_tab_content cb_tab_main">
TAB CONTENTS HERE
</div>
</div>
</div>
</div>
Aside from that no, there's no shorthand code for outputting custom tabs. The alternative is to use a Joomla content plugin that lets you easily output custom tabs or use one of the nested tab positions.