Is there any bus service from shiyan to kunming international airport?

The distance between is about 968 miles (1558 kilometers). For such long distance, no bus service is available. Well then, here is my suggestion to go:
take a train to Chongqing first and you will arrive at Chongqing North Station. Transfer to light rail (subway) line 3 to Chongqing Airport. There you can take a direct plane to Kunming.