There are ESP32 boards with ethernet and PoE. This device[0] uses one and it works very well.

I'm not aware of any ESP32 boards with a camera and ethernet though, but I haven't gone looking on AliExpress either. It's a reasonable combination, so I'd be surprised if it didn't exist.

[0] https://smartlight.me/smart-home-devices/zigbee-devices/smli...