My answer to the question asked in the subject is : most likely not. Obama is a free trader, if you look at his economic platform closely, it's pretty much supportive of free trade in spite of  the customary saber rattling that every Democrat does around election time about toughening up labor standards to appease the unions.

To suggest that a  US President could actually pull the country out of free trade agreements and impose a protectionist system that  actually work shows, in my opinion, a lack of understanding not just about politics but also about the global economic system. Free trade and globalization may not have worked equally well for everyone but there is never going to be  anything that is going to work as well for all. We have been on the trajectory of "free-er" trade for a long time now and if anything I think the world is headed for even more open markets and greater trade, not the reverse.

Just my thoughts.