Cuba has effectively zero capability to project military power beyond their territorial waters. They can't close the Gulf of Mexico or even credibly threaten to do so. They are in no way comparable to Iran. As an island nation with limited natural mineral resources they're also very vulnerable to blockade.
Shahed style drones are quite inexpensive, the straight between key west and cuba is only 90 miles. To my knowledge, it is practically impossible to destroy distributed shahed launchers from an air campaign alone.
To my knowledge it is practically possible to carpet bomb Cuba and just kill everyone on the island. And they have almost zero domestic manufacturing capacity to build long-range drones (or anything else).