Sort of yes. So, currently over web browser you can download to the server but not to the local device. Think of server downloads as storing potentially to something like your NAS. Whereas local downloads of course being downloads to your local device for when you don't have an internet connection.
The client version which runs on Mac, Linux, and windows currently can do local downloads and in the very short term a proper ios and Android app will be releasing which also does local downloads. I'm finishing up some layout issues, and some fast tracked features that people requested and then the mobile app will be top priority. So coming soon!
You bet! That's absolutely the intention I was working towards when building. The ability to self host every component yourself. There's never been a better time to check it out! Version 0.3.1 just dropped!