The short answer is no.

You can't copy the image file to a zip disk and then install from that. There really is no install in the conventional sense. You just boot the floppy and NASLite is running.
The image file is made to be written onto a floppy. The image file contains boot sector information as well as the program. If you write it on a zip disk using rawrite, the zip drive may not be able to read it because the boot sector info and directory structure may not be compatible.
Even if you could get the image on a zip drive, you would still have to be able to boot from a zip drive. If you have an ide version of the drive this may be possible. If you have the parallel port version your bios won't boot from it.
Look in the NASLite+ forum for a topic "Info- how to boot from the hard drive". There was a discussion there about using zip drives and one person's efforts to boot using a scsi version of the zip drive.