It is generally allowed to leave a sail on the beach, or pull down the mainsail and sail under jib+mast only in most classes. Ref. the medal race for 49ers in the olympic games where one 49er finished under jib alone. The F18s even had roller furling jibs earlier to make it easier to change the sail configuration.
Just to be very clear, in the F16 class if you drop the jib and at the same time drop your crew, you have changed configuration and must ask the RC for permission as discussed above. Sailing two-up without a jib on a windy day is fine. Most people would probably prefer to not go out if it is that windy.

All this is pretty common sense and well established practice in all classes I am familiar with.