A verified user on Reset Era posted on October 2021 that PS VR2 would indeed feature backward compatibility, allowing older titles to be played on the new system right out of the box. Of course, these rumors cropped up shortly before PS VR2 was officially unveiled, so that should be taken with a grain of salt. Without a formal announcement from Sony, there’s no confirmation on these rumors.

Source: https://www.distractify.com/p/will-psvr-2-have-backward-compatibility