Can southern Xinjiang report separately and help Xinjiang at the same time?

Of course. Official website, from the State Education Bureau, shows that there are two different enrollment plans, namely, South Xinjiang alone plan and counterpart aid to Xinjiang. The Southern Xinjiang Independent Plan is a special enrollment plan set up by the Ministry of Education for the development of education in the border areas of southern Xinjiang. All regions and departments give their full support to Xinjiang. Both can be applied at the same time.