Is there any available transportation from Shanghai to Beijing @ 4:00am

My sister and I will visit China for a 4 days tour. Our arrival in shanghai is Nov 7 of 4:00am. Our plan is 2 days in beijing and 2 days in shanghai. Our Flight is Manila - Shanghai - Manila and plan to book our hotel 2 days in Beijing and 2 days in Shanghai. Upon arrival from shangahi airport 4:00am, we would like to go to beijing and spent 2 days there then back to shanghai till our last day. Is there any transportation available from 4:00am going to beijing from Shanghai?