Making, touching Bible verse links in Notes show the verses

I think you mean that when you tap a link to a Bible passage in a note, you want a popup with the verse(s) as opposed to a Bible opening / moving to that passage.

Is that correct?

yes

This is not currently available - I suggest you make the suggestion and vote for it at https://logosmobile.uservoice.com/forums/190765-logos-mobile-apps