I would guess the answer is no, you will not be able to use them. But you should try them before taking my word. Schedule a time at your local Apple Store. I offer that opinion because my daughter only sees out of one eye at a time - a little different than you but still one-eyed. As a result, she cannot see 3D movies as the rest of us do. And she cannot use her son's VR headgear to play games. But as I said, there is only one way to find out if things are different with the Vision Pros.
As for Apple making accommodations for this condition, contact Apple Support to ask. They may be able to answer your original question, too.
Apple Vision Pro - Official Apple Support