Agile Kanban Time Logging from In Progress to Complete

We are having our teams to submit timesheets so that we can account for time spent on projects vs other tasks.  Is there a way for the Kanban stories to log time based on the time spent in "In Progress" until moved to the "Complete" bucket and automatically add that to an employee's timesheet?

All projects they are assigned show up in their timesheets so they can manually track time on a project.  If possible, I'd like that time to be automatically calculated based on the time spent from the In Progress bucket to the Complete bucket.

I tried briefly searching, but I'm not an SME for WF so I may not be searching for the right terms.