It depends what your majors is. If science, or engineering as above, it may ok. But If you apply for School of Business, I do not think you will be so lucky.
Now, most of high-reputation schools require interview before issuing admission or interview. I transfered from a top 50 school to top 20 B-school. Admission was offered after two interviews. It is very tough. I can not image if you can not communicate well with the interviewer.
In short, congrs to Popsky! Three year's experience in the States tells me: Communication is very important, second important to your major.