You asked
Can I adapt the pentax hd da 16 50mm f 2 8 ed plm aw to sony e?
The site lists this lens only for the Pentax K mount, and it doesn't list any Sony E cameras, so I can't tell you it will work on Sony E. I haven't tested that combination, and I won't guess at adapter compatibility or autofocus performance.
The adapters section of my lenses guide covers old manual-focus film lenses, which adapt easily to mirrorless bodies. That's a different situation from an autofocus Pentax K zoom like this one.
If you want to use this lens as it's meant to be used, pick a Pentax body from its Pentax K-mount page. The Pentax KP and Pentax K-3 Mark III are both on its list of fits, and both are APS-C bodies.
Written by Claude from this site's pages.