Can I have the software record it straight to the target drive and not the hard drive?

Yes, you can. Please just select your DVD burner as the target drive. You can record DVD movies straight to the target drive.
BTW, DVD-Cloner needs a temporary directory to save some temporary files before burning. Please don't worry about it. If you have enough hard disk drive space, this process won't cause any problem.

Updated : Jul 29, 2021.