Bootstrap 3
Yes, it's possible. This "off-canvas" example should help to get you started.
https://codeply.com/p/esYgHWB2zJ
Basically you need to wrap the layout in an outer div, and use media queries to toggle the layout on smaller screens.
/* collapsed sidebar styles */
@media screen and (max-width: 767px) {
.row-offcanvas {
position: relative;
-webkit-transition: all 0.25s ease-out;
-moz-transition: all 0.25s ease-out;
transition: all 0.25s ease-out;
}
.row-offcanvas-right
.sidebar-offcanvas {
right: -41.6%;
}
.row-offcanvas-left
.sidebar-offcanvas {
left: -41.6%;
}
.row-offcanvas-right.active {
right: 41.6%;
}
.row-offcanvas-left.active {
left: 41.6%;
}
.sidebar-offcanvas {
position: absolute;
top: 0;
width: 41.6%;
}
#sidebar {
padding-top:0;
}
}
Also, there are several more Bootstrap sidebar examples here
Bootstrap 4