No, we don't.
Even if we had three years to move everyone from one side of the earth to the other and could handle the transportation, and then another three years to move them back, how are you going to keep them fed? We're just going to double our food infrastructure on half of the world?
Where do we house them for several years? We're going to double our housing?
How are we going to find all those people jobs to sustain them for the several years they're spending on the other side of the world?
All those things would have to be part of the logistics too. Energy usage. Health care. The list goes on.
It would be a logistical and economic upheaval the likes of which the world has never seen. It would lead to political chaos and massive wars over suddenly incredibly limited resources.
Humanity would survive, but a lot of people wouldn't. It wouldn't be a question of logistics, but a complete and increasingly violent reconfiguration of society in all spheres.