Possibly, but it's hard to tell for sure. It is difficult to see the letters that go with the colored wires. For example in the photo what is the terminal letter for the green wire? If you can determine terminal letters, document here. Or just use the Compatibility Checker to see if it is compatible.
P.S. This posting might be better in the Thermostats forum rather than Home Automation.
I appreciate your help here, @sporfrog.
@Jonesie925, thanks for reaching out to us with a photo of your thermostat's wiring for the Nest Thermostat's compatibility. I wanted to stop by and see how I could help.
We'd like to know what the green wire was used for and what label it was connected to. It's still Nest Thermostat compatible if it's a G or for fan control. But you might need to install a C wire or a Nest Power Connector if you're planning to have the Nest Thermostat 2020 model. Please let us know if you need more help.