No! This is a surefire way to ruin your Oriental rug. Not only will the plastic create moisture that can cause mildew or mold, but it will also trap dirt and debris against the fibers of your rug, causing them to break down.
In the same light, avoid putting your Oriental rug in a box. Boxes are not designed to hold the weight of a rug, and they can put too much pressure on the fibers. This can cause damage and make your rug more likely to unravel.
Instead, use a heavy-duty moving blanket or tarp to wrap your Oriental rug. This will provide the support it needs without putting undue stress on the fibers.