Winnie,
Yes, you can set the option in Tools->Options->Data: General. It's "Use data tables in unprotected (read/write) mode". If you check the option, EG will automatically attempt to open tables in "update" mode when you add/open them in your project.
The treatment applies to all tables, not just those generated by your task. I suspect you might find this isn't the behavior you want in general, but you can try it for yourself.
Chris