Welcome to the community, @Anna_Gol!
It sounds like you’re talking about the Kanban View?
Each column is based on a selected value in a single-select field, so all you have to do is change the value of the single-select field. You’re not actually creating new records, you’re just changing the value of the single-select field in an already-existing record.
It might be easier to understand this concept by looking at your records in a grid view instead of a kanban view — it’s just the same record, but it is changing values in that single-select field.
So yes, you can simply drag-and-drop the person’s record to a new column, and the value of that single-select field will automatically change.
Otherwise, if you want to setup an automation to do this, you’d want to set up your automation to simply change the value of that single-select field. That’s what would get the record to change columns. But you don’t want to trigger your automation based on typing in a name… you would probably want to trigger your automation by checking a checkbox.
