Edit: I’ve got a mini computer that could wake up the big one.
https://dgross.ca/blog/linux-home-server-auto-sleep did the rounds lately.
But you’ll need another system to always be on to handle this.
In many cases, you can “fake” this in other means. For example, I had Remmina configured to run a script to send a WOL packet and wait before connecting via remote desktop to a computer.
Well, you can in theory enable WOL without Magic Packet, but that means any network activity will wake it up, even a random ping, so you might find your PC waking up randomly.
If your computer boots when plugged in (not only by pushing the power button) it would be feasible via a connected plug, but you’d still need a small computer, e.g HomeAssistant on a RaspberryPi, to convert the HTTP request to ZigBee, or a WiFi plug but I’m not sure which one would handle an HTTP request, if any.
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Some motherboards explicitly enable wake on LAN as a BIOS option. If not in the BIOS it’s going to be a bit harder, but the software option recommended, (the Archlinux forum link) looks interesting.
