The short answer is "no" except you meet several pretty strict conditions(e.g you have to be stayed in China now)
Basically, the consulate outside China will not issue passport to any foreign born child but only special travel document. Furthermore , if one of your parent already acquired PR status . The child born in foreign country could only  be qualified for a Chinese visa application.

Ref: http://www.chinaconsulatechicago.org/eng/ywzn/qzhz/qz/t1241442.htm