There may be a time where youi'll need to switch the mode of the database from Full to Bulk-Logging and back to Full mode. Once Example needing to do this is if you are doing a big re-index. In this case, you would need to to switch from full recovery mode to bulk-logged, create the index, and then switch back to full.
You should be able to do this with no issue.
Changing the database from full to bulk logged and back again won't corrupt log shipping. You'll lose point in time recovery while the database is in bulk logged mode.