Hello. I am having the same issue in all of my websites, and I don’t think this is due to bad plugin or theme.
I deactivated all plugins and activated the new 20-22 theme, and still cannot drag and move order of photos when editing the gallery.
I thought that perhaps the problem was because my pages were created in Classic Mode. So I started a brand new, empty page on Gutenberg and still cannot change the order of the images when in “Edit Gallery” mode.
I tried on Safari and Chrome and it’s the same issue in both browsers: I am unable to edit the order of the images in a Gallery after updating to WordPress 5.9
Thank you!