Yes, but it is not certain that cheap drones have the range or navigational technology to reach and hit a carrier in the current circumstances. More expensive drones do, but that's a different matter.
The Shahed drones have more than enough range for this, easily. Whether they're "cheap" I guess depends on your perspective; they're certainly not as cheap as some handheld drone, but they're still pretty cheap compared to all the stuff the US is using now.
