You can send transaction without fee. But the problem with this is the confirmation which is stated on the first reply. But if you are aching for free transfers then you can create a web wallet on some sites that enable you to send bitcoin without fee since they are the one shouldering the transaction fee. One of which is Xapo.
XAPO implemented now some fees when doing transaction IIRC month/s ago. And recently Coinbase and our local exchanger, coins.ph have the same feature. Well for me no issues here since Im getting the services what I need especially to our local exchanger.
Maybe I will just be pissed off if I found the fees not a reasonable fees to be consider especially if I will just use an average amount (not big or small) when doing a transaction.