yes, it should achievable like this ..
<div>
<img class="alignnone" id="imageMaps" src="http://businessplumbing.com/wp-content/uploads/2011/11/Sloan-Royal-Flushometer.png" alt="" width="298" height="595" usemap="#flushometer" border="0" />
<map name="flushometer" id="flushometer">
<area shape="rect" coords="219,6,277,41" href="http://businessplumbing.com/products-page/lavatory-sink/sloan-royal-flushometer-a-72-cp-cover/" alt="A-72 CP Cover" />
<area shape="rect" coords="218,42,278,70" href="http://businessplumbing.com/products-page/lavatory-sink/sloan-royal-flushometer-a-71-inside-cover/" alt="A-71 Inside Cover" />
</map>
</div>
copy the whole code (including div) and paste in HTML tab in editor .
the top 2 “covers” on this drawing should work as different links.