From Shopify Admin Page -> Online Store -> Themes -> Customize -> see below:
You have to navigate to Product Pages first so you are able to see the Product Page - Tabs Option:
Just simply go to the Sections -> Product Page - Tabs -> Shipping Tab Settings: uncheck the "Show Product Delivery" and that should remove it.
- If you want to disable the one in the Cart Page, you can easily do that in the theme settings -> Cart Page -> Order in the next ( at the very bottom of it )
- If you want to know more information about the Shipping Estimator, you can refer here: https://help.shoptimized.net/shoptimized-theme/product-page-settings and head over to Shipping Estimator Tutorial.
- And if you want to manipulate the Shipping Time as per on product basis, please refer here: https://help.shoptimized.net/shoptimized-theme/product-page-tabs then make sure you're on Shipping Tab Settings feature.
From the Section, you can modify the Tabs Location and Tabs Placement, Tabs such as Delivery and Returns, Why Buy From Us and most especially the Reviews Tab: http://prntscr.com/s5d9sp