It seems possible.

https://www.tecmint.com/livepatch-install-critical-security-patches-to-ubuntu-kernel/


On Fri, Apr 23, 2021 at 10:01, <kathihil935@gmail.com> wrote:
 Ubuntu 20.4 on my Digital Ocean droplet needs to be upgraded.

 Can the upgrade be done without shutting down the relay. I
 currently have six flags and don't want to loose them. How
 is the upgrade done on a relay that is in operation?

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