From Shanghai can I take train to Zhuajiajiao?

Well, there is no direct subway that can take you to the scenic area. If you stay at downtown area, you can choose to take subways + bus.
1. Take subway line 1 to South Huangpi Road Station, then take bus Hushang Special Line to ZJJ Bus Station.
2. Take subway line 2 to East Xujing Subway Station. Then take bus Zhuxu Line and also arrive at ZJJ Bus Station.
After arriving, walk northwest around 900 yards (830 meters) to find the scenic area.