Looking at your document,
I think your application is possible, just not exaclty as you have done it. As I understand, you cannot have different triggers for different ports/lines on the same board. You will want to use the same external trigger to start all of the acquisitions within one board.
The 6110 definitely supports triggering, and you should be able to search for a triggering example on our website or in your shipping examples.
Regards,
Anuj D.