Hi there @Lionsjewel1!
Don here from Shopify. :)
In order to get 100% confirmation on this, you would just need to reach out to PayPal support.
They will have access to your account info from there and will be able to advise as to whether this is possible or not.
It may be the case that you will need to have a business account created and attached to your store if you wish to have your business name used in notifications rather than your personal name, but PayPal support should be able to confirm the requirements of their service.
Are you still getting set up with your store, or have you been selling already?
What do you need to work on for your business currently, apart from this PayPal query?