Sure you can 🙂
When navigating to the Seating Charts area of Tickera where all the existing seating charts are listed, when you hover some existing seating chart title, you will notice that Duplicate appears below. If you click that, it will duplicate the existing seating chart. However, once you associate this duplicated seating chart to the new event, you will have to re-assign ticket types as different events have different sets of ticket types and therefore cannot use the assignments from the previous event. Nevertheless, the layout of the seating chart and seat numbers/labels will stay the same so it's at least one thing less you have to do.
As a reminder, you also have Duplicate functionality for the events which will not only duplicate the event but also all the ticket types associated to that event.