I didn't state my question clearly enough: since I don't know Nuke I don't know how its 3D projection works. So I wasn't sure how to answer 'does Fusion have 3D projection'.
Fusion can quite literally project on a card (comparable to a slide projector ie as a light) but you can also UV camera project where the projecting 'sticks' to the card.
You can project with one camera and then move a second one through the scene 'filming' the projected image.
If you look at my showreeel at
www.shadowmaker.nl there's a shot of two people walking across a rope bridge where I projected I think 3 different frames of footage at different points in time on stand-in geometry to completely replace the background so I could paint out their support wires.
So there are quite a lot of ways to go about it, that's why I asked you about your specific footage.
It's client sensitive or NDA of some sort, please feel free to PM me. If it's your own personal work and you can share, please do so we can all learn from it.