How to convert 8080 type 8 bit parallel interface to I2C interface?
Q : "Is it possible to convert it to I2C interface?"


Yes, it is.

Build an I2C-node, that will receive all LCD-directed traffic inside I2C-protocol.

And process continuously all this incoming traffic, producing LCD-display hardware interface compatible output, as the device expected to receive and produce ( a touch-screen, isn't it? ) in design and still expects in operation state.

Published specifications tell you the rules for both the ingress and exgress traffic this proxy ought mediate.



The same applies to an option, proposed by Oandriy ad-hoc, not to stick just to I2C-port, and use rather or instead or either SPI.