Does any knows if there is a fast train between Guanzhou and shanghai?

There are no bullet trains between the two cities, but the fast trains (K-trains) exist. K528 and K512 can take you to reach Shanghai. Besides, you can choose to take express trains (T-trains) to reach Shanghai, too and you can refer to https://www.travelchinaguide.com/china-trains/ to find the exact timetable of the trains.