Yes the admin has the flexibility to track the In Store Pickup status in the orders grid with the Magento 2 Store Pickup Extension.

Read this How to Add In-store Pickup Functionality to Magento 2 to setup this extension.

Here are the few more resource to help you get most out of this Magento 2 Store Pickup Extension.

• A Comprehensive Look at the Store Pickup Trend in Ecommerce
• Store Pickup Extension for Smart Omni-Channel Magento Stores