Только с CSS или JS.
Пример:
<style>
*{margin:0px;padding:0px;}
.select{position:relative;width:100px;height:20px;background:#fff;border:1px solid #bbb;z-index:1;}
.select > span{display:block;width:100px;height:20px;text-align:center;vertical-align:middle;cursor:pointer;}
.select_{display:none;position:absolute;padding-right:20px;max-height:100px;background:#fff;border:1px solid #bbb;overflow:auto;}
.select_ > div{white-space:nowrap}
.select:hover{z-index:100;}
.select:hover > .select_{display:block;}
</style>
<div class="select">
<span>Выберите...</span>
<div class="select_">
<div><input type="checkbox"> текс1</div>
<div><input type="checkbox"> текс2</div>
<div><input type="checkbox"> текс3</div>
<div><input type="checkbox"> текс4</div>
</div>
</div>