My guess would be "probably not" for a couple of reasons:
1) The microcontrollers (electronic brains) used in these types of products give the manufacturers the ability to defeat these types of "load different firmware" mods. Implementing them is borderline trivial. In these cases, firmware becomes encrypted object code that can only by loaded by a product that has been pre-loaded at the factory with the appropriate "key". I'm not sure if Godox implements this scheme but I've seen other photographic accessory manufacturers do it.
2) Before his passing, I had a brief conversation with Paul C Buff about the possibility of adding TTL support to Buff Einsteins through firmware. He indicated that significant changes to the Einstein hardware would be required. That's not to say that Godox didn't design their hardware to be both TTL & non-TTL from the get-go. I'd wager that if they Godox did design the circuitry to be "dual purpose", they did it in such a way that they could save money when manufacturing the non-TTL version by leaving the TTL parts of the circuit de-populated at manufacture. Thatís a pretty common practice.
Just my thoughts...