Extra information on checkout page

Is it possible to add somewhere on the checkout page a type of form where you can ask “Do you want your item gift wrapped” with a yes/no radio button or select button? I don’t need to have any extra charge, just a yes/no option.

The answer would need to appear on the invoice. I’m sure I’ve read on the forum where somebody has done this in the past but, despite searching for quite some time, I can’t find any posts.

This is for version 2 (the latest one)