This was a topic a year ago and just wondering where it stands today. I really need to lock down the movement of items across groups to prevent unwanted outcomes in our CRM - this conveys incorrect information in our dashboards and paints the wrong story to our leadership team.
Hey David,
I understand where you’re coming from here.
You can set this specific board permission which disables the ability to move items:
Is this something you could utilise? I am happy to share this comment internally with our team, incase there are plans for a stand-alone option to enable/disable drag and drop 
@BiancaT This doesn’t solve the issue we’re running into. The only time someone in our organization would want to manually move an item to a new group is when they’re assigned to it.