nope, this will not work.
you can create a "select" element with javascript or css3 using div elements and in these you could have input-elements like: for example:
<div id="select">
<div id="active"><!--active option--></div>
<div id="dropdown">
<div class="option"><input type="text" value="aa" /></div>
</div>
</div>
this has to be designed with css. you could use the :hover effect
-Agarsia