Push notifications are still not a thing on iOS (not for websites/-apps).
You can install a PWA-capable web app. Try twitter.
... you have to dig into the Share menu, then "Add to home screen".
And prepare for weird bugs because PWA mode on iOS is broken in many, many ways. It introduces bugs that aren't there in Safari or Chrome on iOS (which is also Safari, basically).
I'm at a point where I actively try to prevent Safari from installing a home screen shortcut as a PWA. I "upgrade" web apps to PWA on other platforms, but Safari just gets a regular shortcut which opens in a tab. Too much problems...
You can install a PWA-capable web app. Try twitter.
... you have to dig into the Share menu, then "Add to home screen".
And prepare for weird bugs because PWA mode on iOS is broken in many, many ways. It introduces bugs that aren't there in Safari or Chrome on iOS (which is also Safari, basically).
I'm at a point where I actively try to prevent Safari from installing a home screen shortcut as a PWA. I "upgrade" web apps to PWA on other platforms, but Safari just gets a regular shortcut which opens in a tab. Too much problems...