No there isn't.
Have the emails been read via webmail access using a browser on your computer or with an email client on your computer if both email accounts are being accessed with an email client on your computer?
With that many unread emails on the iPhone, that sounds like one or both email accounts were created as a POP account. When creating an existing email account as a POP account with an email client on a computer or on a device such as the iPhone, all existing received emails at the incoming mail server that remain on the server are downloaded as new and unread emails.
If the accounts were created as an IMAP account and all emails have been read elsewhere, they would not be available on the iPhone as unread emails since all server stored mailboxes with an IMAP account are kept synchronized with the server.