Multiple layouts was a much-liked feature of ArcView 3.x, the predecessor to ArcMap. However, ArcMap does not support multiple layouts. There has been talk from time to time about ESRI re-implementing this.
Meanwhile, one potential workaround in ArcMap to check out is to use Data Drive Pages:
ArcGIS Help (10.2, 10.2.1, and 10.2.2)
ArcGIS Help (10.2, 10.2.1, and 10.2.2)
Chris Donohue, GISP