Great question, loftopia. 🙂 I don’t know of any built into the product. It may be that there’s a third party solution that would stop selling the product in WooCommerce on a certain date, but I don’t know of one off the top of my head.
If this is a feature that you’d like to see baked into WooCommerce Tickets, we’d be grateful if you would suggest it on our User Voice forum: https://tribe.uservoice.com/