You asked
Can I adapt the nikon af s vr micro 105mm f 2 8g if ed to nikon z?
I haven't got anything on this exact combination. The Nikon AF-S VR Micro 105mm f/2.8G IF-ED page lists only the Nikon F mount, and every camera it fits is a DSLR. I don't want to guess at whether an adapter works or how it would behave, so I won't tell you it does.
The adapters note on the lenses page explains why old manual-focus lenses adapt so easily to mirrorless bodies. That's about film-era manual lenses, though, not autofocus lenses like this one.
If you're deciding between this lens and a native Z option, check the adapter's compatibility with the exact body before you buy. The site doesn't cover that yet.
Written by Claude from this site's pages.