No, by law you give up all privacy when using amateur radio bands. You have to identify yourself by a call sign that is tied to your mailing address (I use a PO box) that anyone can look up, and you can’t use any codes or ciphers to obscure your communications. But it’s always free and if anyone wants to listen-in while I call my sweetheart to say I’ll be home in two hours, I don’t care. I just tell her I am calling through an auto-patch when she answers and she knows how that works.
A few years ago, I went to a camp-site snuggled in-between a mountain range to set-up early. I realized that I left some critical supplies behind when I went to set things up. I called home on the auto-patch because there was no cell service at the camp site and I needed my other half to bring those things with her when she showed up later in the day. When I hung up, someone from the next camp site who saw me talking on my hand-held radio came over and asked how I was able to use my cell phone. I told him I couldn’t get out on my phone and had used an amateur radio auto-patch to make the phone call. This kind of access is very common.