Yes. I know someone last year who got into Harvard, Stanford, Berkeley, Columbia; another who got into Yale, Harvard, Columbia, Princeton (did not apply to West Coast schools); Stanford, Harvard, Michigan, Yale; Berkeley, Harvard, Yale; etc, etc. There's something of a snowball effect for many applicants, especially those who get into both Harvard and Stanford.
But I also know some who got dinged at several top schools, but then got into only Stanford, or only Harvard. That happens, too.