Of course I don't mind!
Facebook can be confusing, and even more so since it changes all the time!
Terri, do you mean you have a personal profile and then a business page?
Your personal profiles are completely seperate to any pages you set up, just make sure your privacy settings (in your personal profile) are set up to how you want them to be.
But Terri, to answer your question, no, again, any business page is completely unrelated to your personal profile, even if someone likes your business page.
You need a personal profile to create a business page, mainly for accountability.
I manage many business pages and no one knows it's me