laptop install

would like to get linux installed on this old laptop that doen't have a
bootable cd-rom. is it possible to do the install from a zip or something
else? this thing can only run the floppy or cd at one time. ie, have to
swap them on this thing. yes it has a network card. but have never done a
network install either. have tried but no success. still learning here.
anyone available to kill windows on a laptop this weekend?