Is there any direct transport from Hangzhou Airport to Putuoshan without having to take ferry ?

I am sorry that you have to take a ferry to reach the mountain. You can take a bus to Shenjiamen from the airport. The bus departs at 13:50, and the trip takes about 4 hours. The fare is CNY 120. Upon arrival, take bus line 6 to Banshengdong Station. Then, take a ferry to the mountain from Banshengdong Wharf. :)