Zend certified PHP/Magento developer

Can a website find duplicate accounts if both accounts are connected to same 2FA app?

Let’s say I have a personal and work account on a website and use them strictly on separate devices and ISP. If I have connected 2FA for both accounts to a single 2FA app’s account, say Authy for example, does the website have any chances of finding that both the accounts are connected to me, explicitly through the 2FA app?

P.S.: There is no particular website involved here, just wondering if that would be possible before I consider using a 2FA app.