Each State has a statistics department which maintains the records about that State. You may contact any district collectorate for details about your State's statistics department.
Each of the state governments a statistical database on state GDP and other performance indicators. Check EPW on such things and also, particularly this time as CSO has changed the NAS methodology, one has to be cautious about that. Thanks
i would suggest if you like to contact to Prof Mallikaqrjun , School of Management , Nirma University , Ahd , who has done pioneer work on district level data of GDP.