Not on a G3. These systems shipped with Mac OS 8; the System suitcase was over 6 MB alone. Apple stopped shipping systems with internal floppy drives altogether a few years later, with the iMac and blue-and-white G3.

didn't OS 8 come on a CD? I installed it from disc in my DVD drive. not sure how old you think the G3 is, but it's not as old as installing from floppy. just barely