You can fake it with a fixed background image:
http://codepen.io/pageaffairs/pen/LENMgZ
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<style>
body {background: url(http://pageaffairs.com/sp/bg.jpg);}
.cont {background: rgba(256,0,0,0.4); width: 400px; height: 400px; margin: 40px; padding: 40px;}
.box {width: 100px; height: 100px; padding: 10px; background: url(http://pageaffairs.com/sp/bg.jpg) fixed;}
.box-inner {width: 100px; height: 100px; background: green;}
</style>
</head>
<body>
<div class="cont">
<p>This is content inside the big div.</p>
<div class="box">
<div class="box-inner"></div>
</div>
<p>More content inside the big div.</p>
</div>
</body>
</html>