I need the shipping cost to be changed when a particular Customer Attribute value is selected, is it possible to do with the extension?
A feature to change the shipping cost depending on the Customer Attribute value has not been implemented in the Customer Attributes for Magento 2.
As a possible solution, we would recommend considering our Extra Fee for Magento 2 extension. It allows you to create an additional fee depending on the shipping method and customer attributes selected. Alternatively, we could also recommend our Shipping Rules for Magento 2 extension which helps to update shipping rates based on multiple conditions including Customer Attributes.