how to het customer pick date for electron product, example, amusement park ticket

I’m trying to sell tickets electronically. Consider like an amusement park, or parking lot tickets. No worries about assigned seats or limited dates / times. I can handle checking if it is sold out, but this would be a rarity. I do need the customer to be able to pick the date for the tickets and store that. If I’m reading it right, the product attribute “date” is a specific date for a product and not selectable per order. If I’m right about this, is there a way to store the ticket date for a product on a per order basis? Or would this require writing a custom module that stores the date in a custom database table?