Yes! Contrary to a myth that is widespread in Germany, olive oil, including cold-extracted extra virgin olive oil, can be used safely for cooking and frying. The only thing to remember is that you do not heat it above the smoke point (approx. 180° C). But that's not necessary, because this temperature is even sufficient for frying Viennese schnitzels! Until a few decades ago, Greek cuisine had no fat other than olive oil available and the Cretan diet has been considered the healthiest diet since the 1960s. So up the pans of olive oil!