Live migration in EC2 (vMotion in VMware)

Is it possible to do livemigration (equivalent to vMotion in VMware) of EC2, between physical servers? I found an article that says it is possible in GCP.

We are checking from two perspectives. (1) Can the EC2 administrator perform livemigration at any given time (I couldn't find anything about it in the documentation, so I assume it is not possible) (2) Does AWS person move EC2 to another physical server on its own when, for example, the physical server is about to break down?

I use the term "livemigration" to mean "moving a virtual machine running in a server virtualization environment entirely to another physical server without stopping the OS or applications.