Hi – great question!
WooCommerce Tickets itself does not, as this is really a piece of ecommerce functionality and you’d need to look to WooCommerce (possibly in combination with a suitable payment gateway) to handle this.
However, it is certainly possible to manually build orders in WooCommerce and the default gateways would effectively facilitate this if you treat cash as if they were cheques (checks) and complete the orders on site, for instance … and there may even be slicker ways to do this with suitable WooCommerce extensions.
Payment facilities aside, WooCommerce Tickets will certainly accommodate ‘checking in’ attendees on site so long as your staff are able to access the attendee admin screens locally.
Does that help at all?