There can be flukes with individual schools, but I highly doubt an individual with a high GPA and DAT wouldn't get in anywhere. The only way I see this happening, as others have stated, is if there is an inordinately low amount of volunteering hours (I'd say less than 100) or shadowing hours (I'd say less than 100 again, since some schools have this as a minimum requirement). I suppose that having three BAD recommendations could also cause this to happen, but that is super unlikely. 🙂
Like I said, though, people with high stats ALL-AROUND (including ECs, volunteering, shadowing, etc.) shouldn't expect to get interviews everywhere. Strange stuff happens.