Tealium does not currently offer that functionality with any of our products. You can turn off connector actions, but cannot turn off attributes or rules, or remove them from the UI and keep them for later.
If that is functionality your team would like to see available out-of-the-box, I've included the information about our Product Ideas forum below and we recommend adding a new idea for our Engineering team and other customers to see as our Engineering team uses this forum to prioritize new features:
Product Ideas Submission: https://community.tealiumiq.com/t5/Product-Ideas/idb-p/product-ideas
How Product Ideas Work: https://community.tealiumiq.com/t5/TLC-Blog/How-to-Submit-a-Great-Product-Idea/ba-p/20792
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