Containers versus Serverless

"The time has come to talk of many things, of cabbages and kings."

Recently, I read an interesting ebook, entitled, "The Docker Container Ecosystem" and I began asking myself: "Could you convert a containerized, LAMP-based web application like WordPress or Drupal to a serverless application?" Now that HHVM and Hack have given us a PHP 'virtual machine' would it be technically feasible to make the MySQL/MarinaDB database API and all of the PHP library calls into a "Backend As A Service" (BaaS) described by Mike Roberts, in his post, "Serverless Architectures" on Martin Fowler's blog?

More directly related to CI/CD, the question might be asked, "Would a BaaS containerized application be a evolutionary advance towards a greater alignment with Kubernetes-based containerized application clusters?"