Wireless Display for projects

I am currently in the midst of several projects, but I am looking for guidance on a plan that could affect all of my projects, now and future...

I am wondering if it is possible to make a wireless display... It sounds simple to me, but couldn't a person just use a local wireless transmitter/receiver (even something like a ESP8266 in particular), and just have the receiver send the information to the I2C device on the display (I am thinking small, such as a 1604 or 2004 LCD, nothing like one of those large color LCD's, those obviously require much more complex data)...

I know I am over-simplifying this idea, but surely there is some way to do it without it being overcomplicated...

Hoping someone can both give me an answer as to whether it can be done or not, and also the complexity of such a system of communication...

I do kindly thank you all for your time and efforts!

~J

Maybe if you use something like this LCD backpack that does serial you could attach a slave mode one of these that has been paired with a master mode one on the Arduino.
Other options would be the ESP8266 with serial bridge firmware loaded (here) or xbee's etc. Basically any wireless system with a serial port.

Thank you for the reply!

Interesting, not quite so simple as I would have thought...

As a learning experiment, I have two Arduino Uno set up. One has a self-made "shield" with a 433 MHz transmitter. I have the sketch set up to send a message of up to 16 characters in length to the second Arduino Uno with a self-made "shield" with a 433 MHz receiver and a 16x2 LCD display. The messages are written to the LCD display.