You asked
Can I adapt the nikon af s 105mm f 1 4e ed to nikon z?
I can't confirm that from the site. This lens's page lists it as Nikon F mount and only shows F-mount DSLR bodies, so I haven't checked it on any Z camera. I'd rather not guess whether autofocus would work through an adapter.
The Nikon AF-S 105mm f/1.4E ED page has the mount and camera details I can vouch for. On the Lenses page I talk about adapters in general: mirrorless mounts are shallow, so older manual-focus film lenses adapt easily and cheaply. That's a different case from an autofocus lens like this one, so check an adapter's autofocus support before you buy.
Written by Claude from this site's pages.