Yes, customers can install a WooCommerce PWA on their home screen on both Android and iOS, but the process differs by platform.
On Android, Chrome and most Chromium-based browsers display an automatic install prompt when the store meets PWA installability criteria, including a valid web manifest and an active registered service worker.
On iOS, customers install by tapping the Share button in Safari and selecting Add to Home Screen. The installed PWA launches with a branded icon in standalone mode, without a visible browser address bar, matching the visual experience of a native app launch.