You asked
Can I adapt the nikon af s 300mm f 4e pf ed vr to nikon z?
Here is what the site says about that.
From Nikon AF-S 300mm f/4E PF ED VR: Nikon AF-S 300mm f/4E PF ED VR: A prime lens by Nikon for Full frame cameras, 300mm f/4. A Phase Fresnel element makes this a small, light 300mm. Specs - Maker: Nikon - Focal length: 300mm (prime) - Maximum aperture: f/4 - Made for: Full frame sensors - Mounts: Nikon F - Stabilised: yes - Autofocus: yes What it frames like - On full frame (Nikon F): as marked, 300mm. - On APS-C (Nikon F): like 450mm ...
From Lenses: Adapters: Mirrorless mounts are shallow, so old manual-focus lenses from film cameras adapt easily and cheaply. It's a fun way to try fast or unusual lenses, without autofocus.
Quoted from this site's pages.