Technically, not practically, you can buy a certificate for paypal.com. I'll go into the practicalities later but let's assume for a moment that you did.
Then you need to install this certificate on your server. Since you don't own the paypal.com, you probably have, let's say, paypall.com, hoping your visitors won't notice the two L's.
As soon as visitors visit your site, they will be given a warning that says that the certificate doesn't match the URL. While browsers give users the ability to continue, the warning is scary looking and will stop most people from continuing.
The certificate structure is kind of like two-factor authentication:
- WHAT YOU HAVE: The private key to the certificate
- WHAT YOU ARE: the URL
If you don't have both, you will have errors.
Now the practicals: no respectable CA will sell you a paypal.com certificate without the proper documentation. Every CA goes through a strict verification process to ensure you own the domain and you are who you say you are. Even the free SSL tool Let's Encrypt verifies that you own the domain by either checking DNS settings or by hitting your website with their crawler.