Answer is 'NO'. The admission process is holistic (emphasizing the importance of the whole and not the individual parts), and takes into consideration your overall personality, academics, work experience and extra curricular activities. If you can convince the committee that you are capable of handling the rigor of the MBA program and can become a good alum, you're in!
Your essays should principally answer the three important questions - What is your post-MBA goal? How does it connect with the experiences thus far? And, how the MBA course from this school would help you achieve the goal.
Once you've found answers to these important questions the essays and interviews are a piece of cake.
Most university websites clearly state - "A high GMAT score does not guarantee you a place, and a low GMAT score does not deny you the admission". There are several other factors - viz. essays, letters of recommendation, academic history, quality and length of work experience, extra-curriculars - play a vital role in the process.
Remember, end of the day, you'll need to be liked by the committee. If that's the case, you are through!!