It depends on your location and you are hopelessly lost. :(
If you are here in Florida, then the answer is yes. Most places north of here your new queen would be hard pressed to find drones and may end up being a drone layer.
For a package to start raising drones, it would have to get strong enough to be producing excess honey. Which probably won't be until the fall.
Why the concern about drones with a package. Do you have a new package that is producing a lot of drones?
First of all most packages come with drones, they are from strong hives. If on the other hand you are seeing lots of drone brood being pulled out of the hive of a newly packaged hive, this would indicate that you have lost your queen or she never mated.