Earth Fault Currents

We have an 11kv/6.6kv Dyn11 transformer with it's secondary, resistance earthed through 4.7ohm Earthing resistor. This 11kv/6.6kv transformer is conected to switchgear panels that then distributes power to four other 6.6kv/0.4kv transformers that are solidly earthed. My question is this:- If there is an earth fault ( phase-ground)on the secondry of the 0.4kv transformer, will the earth fault current from this 6.6kv/0.4kv transformer be able to trip the earth fault protection relay on the 6.6kv transformer.