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Many are! The Florida Keys National Marine Sanctuary is divided into zones [1], with each zone limited to different types of activities like diving / snorkeling, fishing, and research.

There are many good dive operators in the Keys who take recreational divers out to the approved reefs. If you want to get up close to the reef restoration part, the Coral Restoration Foundation also has a dive program to take divers out to their coral nurseries [2].

1 - https://floridakeys.noaa.gov/zones/types.html

2 - https://www.coralrestoration.org/dive-programs