In the case given no, but if the QNH was 1013 or HIGHER ,yes
or more simply you can fly at FL030 if the QNH is 1013 or higher( if trans alt is 3000 feet)
1. do you understand 'put the aircraft on the 3000ft shelf''?
2. do you understand--subscale up = alt up--subcale down = alt down?
as on pre flight instrument checks