Originally Posted by Pathfinder SRDArmor Training (Ex): Starting at 3rd level, (....)
In addition, a fighter can also move at his normal speed while wearing medium armor. At 7th level, a fighter can move at his normal speed while wearing heavy armor.
A class ability does not take effect before it is gained. Since a Fighter 2 does not have Armor Training, he does not gain any benefit of the class ability.