No, not without manual intervention in the admin system.
When a person opt-out of emails, two things happen:
First, they are removed from the default Email Opt-In Universe email list. This means that when you send to this list, they will no longer be on that list at all.
Second, their record is marked as Do Not Email. That means that even if you create a custom list or send an email to "All Records", they will automatically be excluded. This is because the email engine checks each record before sending to make sure that the record can be emailed. If a record is marked as Do Not Email, then even if they are on your email or custom list, the email engine will skip them.
This Do Not Email flag is managed in the Constituents module, Contact Info tab.