is it possible to go to Zhouzhuang then the gardens in Suzhou, Taihu lake , and Tiger Hill in 1 day?

you can find a travel agency, let them arrange it for you .

I'm afraid your plan is too tight. It is hard to finish them all in a day. To take a best sightseeing in SZ, you are recommended to enjoy the different classical gardens, Silk Museum, Tiger Hill and Hanshan Temple. If you wish to have fun at Zhouzhuang, you'd better spare another half day.