Is there any other routes to reach Lianyungang city in Jiangsu province from Kunming? Flight?

You may fly to Nanjing from Kunming (about 3 hours). Then, take shuttle bus line 1 to the terminus: Nanjing Railway Station for CNY 20. Afterwards, take a bus to LYG from the nearby Nanjing Bus Passenger Transport Station. The buses are available from 6:20 to 18:30, and the fare is CNY 118 to 146. The trip takes about 4 hours. :)