Not yet! Unlike the version of Safari that comes pre-installed on iPhones and iPads, the Safari that comes with Apple Vision Pro does not have any Add to Home Screen buttons, which is the sole method available for installing a PWA on iOS/iPad OS.

Hopefully, Apple will add this option soon — perhaps in a future update that would also allow re-ordering the Vision Pro homescreen? In the meantime, if you're looking for a PWA solution, check out Progressier.