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This is not possible as of this time but I have raised this as a feature request which hopefully will be considered in the future but I could not guarantee you yet since widgets can only be required in its entirety and not by group of fields so there might be a little complexity here. Anyway once this gets implemented, you will be surely informed here.
The widget has got a new param "Minimal rows number", that lets you show some rows by default instead of asking user to click "add row". If you don't see this param in widget wizard, please remove widget and add it again.