By absolute positioning a container
in an outer container that is relative positioned with hidden overflow you can hide the scrollbar of the inner container outside of the first.
So the scrollbar is still there, but you won't be able to see it.
#outer {
position: relative;
width: 200px;
height: 300px;
padding: 0;
margin: 0;
overflow: hidden;
}
#inner {
position: absolute;
left: 0;
top: 0;
right: -30px;
bottom: 0;
padding-right: 15px;
overflow-y: scroll;
}
JSFiddle: http://jsfiddle.net/g6URf/