It depends upon what the cutoff will be for this year. Each year it will change dependent upon the applicant pool, but if you are off by approximately 400 points, then probably yes you could be denied. Are there any other majors where you meet the cutoff you would be willing to apply? This would probably your best bet. You can still take courses in a variety of other areas since you need to fulfill the GE requirements for any major you plan on pursuing.