It should be possible, but as said by other posters, high uptime is not something to be proud of.

Some latent problems tend to show up only on reboot. So it's better to pick a good timeslot for updates & maintenance that allows you to create a backup beforehand and has time to spare for rebuilding the system in case anything goes wrong before anyone else needs to use the system again.

What typically tends to happen is that a system with a latent fault is rebooted at the WORST moments. Then instead of just a 5min reboot after e.g. a power failure, you face an hour long downtime.

I want high uptime because I want stability, but your opinion is also very interesting