Most likely. I just checked and it uses embedded-graphics already which means you can plug in Mousefood directly. The touchscreen might be a bit tricky though, it might need some hacking on the event handler side. But it will most likely work if you map the coordinates to the terminal cells abstraction somehow.

At the bottom of the page there is a mention of "Phone-OS - A modern phone OS for ESP32 CYD", so apparently it must be supported.

Today I Learned: https://github.com/witnessmenow/ESP32-Cheap-Yellow-Display