Does your executable program need NI-DAQ (do you communicate with any data acquisition cards/devices)? If so, you need to install NI-DAQ for it to talk to the DAQ devices, there's no way around it.
If you didn't use any DAQ functions in your program, you should need:
* The runtime engine (lvrt.dll) which comes with LabVIEW
* You may need the serpdrv and daqdrv files that should have been created by the App Builder.
With these files in the same directory as the executable, it should run.