Live migration (to other host) of ROS 2 nodes: supported?

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I wanna realize live migration of ROS2 node, but I would like to implement it with the function provided by ROS2 as much as possible.

This is (currently) not supported.

And personally, I'm also not sure whether this should be something ROS should do at all.

Managing state like this and migrating running processes to other hosts is quite complex. There are solutions to this in the form of technology stacks like k8s and similar platforms and we should probably use those, instead of integrating something like it in ROS proper.

It's not migration yet, but there are some people looking into deploying ROS 2 applications onto/using kubernetes. See ROS 2 on Kubernetes and the earlier Robotics Distributed System based on Kubernetes on ROS Discourse.