In the world of Recluce, is it not possible for a white wizard to remove the chaos from a person’s body and thus allow order to overwhelm and freeze them?

Since both order and chaos are necessary for life, removing either completely, or even largely, will result in death. While a sufficiently strong chaos mage might be able to do so, there’s little point in doing that, because for a mage strong enough to accomplish that, there would be easier ways to kill someone.