No. There once upon a time was, but unless you have staff devoted to nothing but keeping phone apps current, it's almost impossible to stay on top of all of the bazillions of OS changes that all the various flavors of smartphone out there go through on a regular basis. So the QRZ phone app was dropped from the App Stores several years ago. Some folks still have the app on their phones but should know that it's no longer supported in any way. Dave W7UUU
There are also ways on both Android and iOS to save a webpage as an "app" on your home screen, allowing you to interact with the site as an application even though it is little more than a saved webpage. They are also known as PWA although true PWAs are a bit more involved. Most browsers will give you the option to save to your homepage or to save as a "web app" (the wording varies depending upon the OS and the browser used).
I can't speak to that specifically, DW. The QRZ site is not formatted to optimize mobile viewing. If smartphone browsers have some way of doing that, I'm not aware of it for QRZ.com. I view the site DAILY from my iPhone just using mobile Chrome and I can assure you there's no special formatting going on. I'm constantly zooming to see things, to log in, to enter Admin-only pages, etc. It works but it's hardly like an app would be. If you're able to test this, and report back with screenshots, that would be great. I'd love to know the process to make it view like an app instead of a webpage. But to be very clear for the OP: QRZ.com does not have an app anymore and there are no plans to change that. Dave W7UUU
Definitely, it isn't the best experience on mobile. Merely possible, not ideal. It simply takes the web page and makes the system think it is an app: it doesn't actually change anything else so the view you get in your browser is what you would get in the "app".
As has been pointed out, the QRZ app is long ago no longer supported. My advice is to just delete it. Dave W7UUU
Actually, when you go to QRZ using a web browser sometimes you get a "pop up" asking you to install an app but I think it's just building a link on your screen. However the link doesn't display right. So like you say Dave, deleted!
That’s not a QRZ app. Don’t click on those - that’s just some ad being populated by Ad Sense. As has been stated several times: QRZ does not have a current app and the old one is years ago no longer supported. Dave W7UUU