Will being rejected at Harvard undegrad hinder my chances at Harvard BS?

I am an UK student, I did a really awful ( horrible ) application to Harvard and got rejected, then I got into a top UK uni and want to apply to HBS 2+2. However will my name be saved on their files for good and therefore will I get rejected because of my poor undergrad application? ( I right now have a top GPA or equivalent and top internships at GS )
Should I email HBS and ask?

No. Whether or not you went to Harvard College does not effect your chances of getting into Harvard Business School.

No. I do not think colleges keep a database of rejected candidates for too long.