is it possible to reach zhujiajiao from hangzhou ? and if so, what is the best way to get there?

No, from Hangzhou, there is no direct transport mode to the ancient town. You are suggested to take a normal speed train from Hangzhou to SH South Railway Station, the travel time is about 2 hours. Then in the south square of the train station, you can take the bus Shangzhu Line to ZJJ Bus Station. Then you can enter the ancient town by walking.

Yeah, there is no direct public transportation. You can take a bullet train from Hangzhou East Station to Songjiang South or Hongqiao Station. Then the distance to the ancient town is 30-35km. You can consider taking a taxi to reach then.