Charging galaxy S4 wirelessly and wired at the same time
Days since Nokia Wireless charging pillow by Fatboy announced People at Windows Central checked with Nokia and officially it doesn't support Dual-charging (And Wireless Charging takes priority, I know it just doesn't feel right ) 

Since then Many Android users have been asking about it in forums,   reddit and it seems that Android phones doesn't support Dual-charging either. However there is no official information about which takes higher priority(Wireless or Wired)