Unless he declared Martial Law.
Knowing him he would use the very civil unrest that he created as a reason to declare martial law to prevent civil unrest.
Read the Constitution and that Amendment again. Being in a state of martial law does not override the constitution. Obama will no longer legally be President after noon on January 20, 2017. Period.
Any orders issued by him after the stroke of noon will be null and void. Any government employee attempting to enforce any order by Obama issued after the stoke of noon will be participating in insurrection against the Constitution of the United States.