Monitors Establish Bonds?

[tHeGiNo]

I was curious, and please do not bash me for asking this, lol. By no means am I going to run out and get a monitor, however it was something I was pondering. Is it possible to have a monitor establish a 'bond' so to say with it's owner? I mean to be able to trust it enough to let it free roam at all times? I was just curious as to some of your experiences relating to the question, thanks in advance. Maybe trust is a better word then bond? I guess I am wndering if any of you have had a monitor who would come near you and enjoy being scratched on the head or neck, something of the sort.