You could fake it with displacement, but it would look unrealistic, due to the nature of displacement mapping, except for mid to wider range shots.. and in those shots, the effect might be negligable.

If you are going to invest the time to do it, you'd be better off making a smartprop or conforing figure, or using th ehair room, and making her a "rug".

Way too many people take way too many things way too seriously.