Can an alias (parked) domain use a different SSL than the domain on which it is parked?

Question

Can an alias (formerly known as Parked) domain use a different SSL than the domain on which it is parked?

Answer

An alias domain (parked) cannot use a different certificate than the domain on which it is parked. This is because alias domains share a virtual host with the domain on which they are parked. Only one SSL certificate can be specified per virtual host. Attempting to install a certificate for an alias domain will replace the existing certificate for the domain on which it is parked.

However, an alias domain may be converted to an addon domain with public_html as the document root. Addon domains do not share virtual hosts. Converting an alias domain to an addon domain allows the domain to serve the same content and use a different SSL certificate from the domain on which it had been parked.

Additional Resources

How to convert a Parked (Alias) domain to an Addon domain