Florian Thienel has a way to do that.? See .? He has code for an Arduino Nano that pretends to be the display and sends the info over a serial line.? He then uses an ESP8266 device to send the info using the Internet of Things protocols.
I'm planning to set up a nano with his code, and feed the serial output to my control computer.? I'm also planning to add the ability to send a serial command to the Nano that will press the Tune button, and maybe other ones as well.
Steve KD2USS