Can the export to QuickBooks be performed from the AdvancePro client rather than the from the Server?

You can do it from any machine that has both AdvancePro and QuickBooks installed. You would point to the location of the QuickBooks file in AdvancePro as you did on the server and then import charter accounts. After assigning the proper accounts you can export to QuickBooks.

For your reference, you can find more information in the AdvancePro manual in chapter 11. You would have to follow the basic setup for the synch with QuickBooks, but skipping chapter 11.3 which explains how to do the initial import which you have done from the server machine earlier.

You MUST NOT do the initial import again - that would duplicate your existing data.