Yes!! My Orps are my main lap-hogs, but my EE is very friendly too. I also love their curiosity.
What's your EE cross's name?
One of my Easter Egger hens "Cookie" is by far my friendliest chicken. You should see the fit she'll throw if I don't carry her with me everywhere I go
I don't have a name yet, she's only a few weeks old I'll try and get a pic of her later, though!