Nah it implanted one person and then died. The captain got facehugged by another one after David showed him down to the basement, although that super rapid implantation seem to be only possible by Davids strand of xeno prototype, as the normal xenos from the alien trilogy took 2 hours or so. Only defiance comic book seem to imply a facehugger barely needs to attach to a host.
Only a super facehugger can implant 2 embryos which assembly cut shows/queen bearing facehugger in normal version. Although I wouldnt count out alien exctinctions showing of several embryos or several facehuggers coming from same egg/host.