No it's a terrible idea.

You should NEVER be giving free bitcoin away to random people because that just puts their guard down and makes them think that strangers handing out bitcoins is normal (when clearly, it is not: 99.99999% of giveaways are just scams in disguise)

This consequentially increases the amount of scams, victims, and disgruntled users that think "Bitcoin's should create a way to reverse these transactions".