You can do this in a batch export application but not using the Export Data tool. If you haven't used a batch export before, what you can do is:
1) Open your export specification in Export Data.
2) Select View -> Batch Logic.
3) Click Create Batch Application.
Once you've done this, you'll have a batch export application that exports the data you're interested in. For example, I did this with the Popstan Census dictionary and I get this:
PROC GLOBAL
FILE cspro_export_file_var_f;
PROC QUEST
PreProc
set behavior() export (CommaDelim, ItemOnly, ANSI);
EXPORT TO cspro_export_file_var_f
CASE_ID(PROVINCE, DISTRICT, VILLAGE, EA, UR, BUILDING, HU, HH)
PERSON, HOUSING;
The next step is that you have to add a dictionary item that will contain the UUID. I'll do this using a working storage dictionary:
1) Select File -> Add Files.
2) Click on "Working Storage Dictionary..."
3) Edit the dictionary, adding an item to WS_REC, CASE_UUID, alpha, length 36.
Then I modify the logic to set this value, and to export it:
CASE_UUID = uuid(CEN2000);
EXPORT TO cspro_export_file_var_f
CASE_ID(PROVINCE, DISTRICT, VILLAGE, EA, UR, BUILDING, HU, HH)
CASE_UUID, PERSON, HOUSING;
Now when you run this application, you'll get the UUID in the export.