Possibly, but few cloud providers actually do live migration[0] since it's risky to pause a VM for typically less than 1 second, but up to 5 seconds.
0: https://cloud.google.com/compute/docs/instances/live-migrati...
VPS providers are already overprovisioned anyway, so they have less idle hardware to begin with.
For the record I like the concept and hope it becomes a lot cheaper over time.
To demonstrate Ceph RBD network block storage back in the day, I ran VNC sessions to two libvirt hosts and live migrated a full VM with a desktop and a bouncing ball animation in a window between the two hosts & VNC sessions. The only thing a human could perceive was that the desktop image in one VNC window goes black, and the animation continues in the other.