Hello;
The only way to accomplish that is by inserting one of the general purpose counters in between the external trigger and the trigger source of the analog input task.
You need to configure the counters to do retriggerable pulse generation and route that counter output to be the trigger signal of the Analog Input task. By doing that, you will be able to configure the delay you want as the delay of the pulse generated by the counter.
Hope this helps.
Filipe A.
Applications Engineer
National Instruments