Do I need to complete my pre-req science courses before applying?

Schools requiring/recommending genetics–
Brown, Creighton, FSU, Harvard (required), JHU (required), MSU, OHSU (required), Penn State, Tufts, Alabama, UC-Davis, Chicago, Iowa, UMass, Minnesota, Nebraska (required), Nevada, UNC, Oklahoma , URochester, Tennessee, UWash, Cornell (required),