Wifi sensor readings from one Arduino Mego to another

Greetings.
I would like to send some remote sensor readings from one unit to another that will be equipped with a screen. I prefer not to go to a web page. Using Megas and Esp-01
Possible?

Thanks for any ideas.

My advice would be to get everything working on one arduino first (sensor and screen) and then figure out how to do wifi after you got the basics down.