Do you just mean water pooling on the floor after a rain? Couldn't I just shop-vac that outta there if it rains between the time the basement floor is poured and the time I build the bearing wall and set the floor joists and sub-floor?
absolutely you can, just hope you don't get a Tropical Storm Debbie type rain, may be you're in a dry area of the country and rain is not a concern. In my area rain is usually a concern.
every area of the country have their own little nuances, one of the reasons I enjoy this forum.
"You get what you pay for, and sometimes free costs more!"