To display the estimated shipping date of the product, under Product information section > add the Estimated delivery time block.
To set up this block, go to the Theme settings and locate the Shipping and delivery section. Detailed instructions and settings for this feature can be found in the guide to Theme settings here.
By doing so, you will set up the Estimated shipping date on the cart page, mini cart, and product page. However, if you want to customize the setting of this block on the product page, you can click straight on the Estimated delivery time block and make changes.