I was wondering if I can hook up a high resolution amoled display such as this one: (https://www.alibaba.com/product-detail/AUO-1-4-inch-round-lcd_60506811833.html) to an arduino microcontroller?
With datasheet for display (pinout) and datasheet for the display controller (COG - Chip On glass) - yes, you can use this with Arduino.
Without having more information about the controller, it's hard to say if there is a library available the supports the controller.
Expect it to be rather slow using a "standard" Arduino (Atmega328 or similar AVR) (about one to several seconds to update whole image on screen)
// Per.