Can the online shop display stock availability levels for customers to see?

WooCommerce does have the ability to manage stock control. Stock levels can be stored at product level. You can choose to make the number of units in stock visible to the customer on the product page if required. It can also be disabled which means that the customer will be unaware of your stock levels. As a shop owner, you can still see stock levels at product level in the administration area of your online shop.
WooCommerce Frequently Asked Questions