is there a bus service between Beiqiao Metro Station and Qi Zhong Tennis Stadium in Shanghai

There is no direct bus or MTR between. It is suggested to take subway line 5 at Beiqiao MTR Station to Zhuanqiao Station. Get out from exit 1 and you can walk to Zhuanqiao bus stop to take bus no. Minhang Line 2 (闵行二路) and get off at Qizhong village, Shijiefang Station. Upon your getting off, you can easily find the Tennis Stadium.

It is totally a little further than 10km between, so you can also consider taking a taxi.