You can't split the parts list over 2 sheets but you can format it to fit better on one sheet.
You could do what Swertel suggests, but then that's 2 parts lists to maintain, and it could cause some confusion later.
RMB on the parts list then click the Size/Placement tab.
In here you can control the height of the list, so that you can use the max available for your sheet, or get it onto 2 similar height columns.
If your list extends over into another section, set the 'Section Gap' to give a separation between the 2 parts of the list.
The location point can be set to any corner of any section.
bc