ESP8266 Community Forum

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An ESP-01 definate does not have enough gpios for this task. And even there were enough gpios on any ESP module, I doubt that you'd be able generate a PWM signal for 1024 RGB-LEDs.
I suggest you consider using WS2812b or APA102 LEDs instead. The LEDs have an integrated controller that allows them to be invidually controlled in a daisy-chain using a digital protocol. (there are multiple examples here using these LEDs)

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I'm a fan of using the right tool for the right job. If it were me, I'd look at a low end ATMega processor (such as the Arduino Pro Mini - $1.67 on ebay) to control the display ... and then use one or two pins or SPI or UART to send commands from the ESP8266 to the Arduino. Basically, modularize the solution. Create a "module" that "owns" the display and leave WiFi and master control to the ESP8266.