hi there. it's been a while since your question. The OGC GeoPackage specification was recently finalized and adopted and Esri has started implementing it in ArcGIS. A quick view of what's available/planned:
ArcGIS 10.2.1
An early draft of the vector specification from Fall 2013 (Draft Version 0.8.2)
Desktop
ArcGIS 10.2.2
The final adopted vector specification (Version 1.0)
Desktop and Server
ArcGIS 10.3 plans
The final adopted vector and tiled raster specification (Version 1.0)
Desktop, Server, and Runtime
To keep up-to-date on the status of these and other support for GeoPackages in ArcGIS please visit http://esriurl.com/geopackage.