If you have InDesign CC 2019, when you select a Hyperlink and look in the Properties panel, you will see 3 buttons – ‘Remove Hyperlink’, ‘Edit Hyperlink’ and ‘Manage Hyperlink’.
Remove Hyperlink does what it says – it removes the hyperlink. However, it retains the applied Character Style which can be manually changed by clicking the [None] style in the panel.
Manage Hyperlink opens the Hyperlinks panel (if it’s closed) and Edit Hyperlink lets you edit it.
Hope this helps.
Adobe InDesign team
An error occurred while saving the commentTaylor commented
Yes, this would be a huge help. It's silly to have to recreate content (images, icons, and text) when instead we should just be able to delete a link.