It is possible to create the multiple parts list in drafting by setting the environment variable 'UGII_UPDATE_ALL_ID_SYMBOLS_WITH_PLIST' with value to zero. Also you can create auto balloons for the individual arrangement views by selecting the parts list. But you can not create a parts list that will list only those components that are present in that particular arrangement. In NX, parts list points to the active arrangement in the assembly. So it is not possible to have the different parts list with respect to the different arrangements.
One workaround is, create the parts list for each arrangement > Create auto balloons > Delete the unwanted rows of the components that are not the part of the arrangement. As you will delete the rows from the parts list, the sequence/auto balloons will get updated automatically.
I ment multiple drawing parts, not multiple drawing sheets. You are right, all partlists in one drawing part would show the same.