You have an option to make a product temporary available for pre-order.

Just set start date as "Start Pre-Orders On" and end date as "Finish Pre-Orders On" options by going to Products section of the app on some individual product that you need set the time range.
There you should enable the checkbox "Set Pre-Order End Time" to make the end date option available.

Please keep in mind that both "Add to cart" and "Pre-Order" buttons would be hidden for that product if the current time doesn't match the pre-specified range. So in other words, the product won't be available for purchase at any time except the pre-order time until it becomes in-stock again or the admin changes the pre-order time range.