I'm not sure I fully understand your question. Are you wondering if you can use someone else's information for Shopify Payments (i.e. a business partner) that does not match the account owners' information? If you could clarify that for me, then I'd be happy to help point you in the right direction.
You'll notice I moved your post onto its' thread. I've done this because your question was standalone and not a continuation of the original thread you posted on.
You would need to use the EIN for your business or SSN to use Shopify Payments as it would not be possible to use another company's EIN. If you do not have an EIN or SSN, then it will require using a third-party payment provider.