There is a iOS app that acts as a client to specifically connect to code-server instances. It removes the chrome from the web browser and makes things like copy/paste easier. IIRC, it was much more pleasant than the PWA version (but it’s been a while since I meaningfully used it).

Serveditor is the one I’m thinking of. Not sure if it is still around or not. There were paid plans for them to host your backend, or it was free if you had your own server.