No you can't use a floppy drive connector cable - that is a 16BIT IDE cable. An internal Zip100 drive if i recall correctly used a 32 bit IDE cable, same as millions of hard drives did around in late 90s to late 2000's. You can get a USB IDE controller to use it with a modern computer, or pull one out of a USB-IDE hard drive enclosure, and in case of an older desktop of that era you probably have that controller on board. Don't forget to set the Primary/Slave jumper on the Zip 100 drive depending on the number of units on the IDE cable (usually max of 2) and enable it in your BIOS.
