Preheat oven to 210C/190C fan-forced. Line 2 baking trays with baking paper. Combine yeast, sugar and 1 cup LUKEWARM water, in a large jug. Using a fork, stir. Cover, then let stand in a warm place for 5 minutes or until bubbles appear on the surface. Sift flour and salt into large bowl. Add yeast mixture and oil. Mix to combine. Turn out dough onto a lightly floured surface. Knead for 5 minutes. Divide dough into 4 portions.
Meanwhile, heat a large frying pan over moderate heat. Crack eggs into pan; cook for 1 minute or until just cooked underneath.
For each calzone, roll a portion of dough into a 20cm round. Spread with paste; top with ham, egg, cheese, onion and parsley. Lightly brush edges with water, fold rounds in half to enclose filling. using a fork, press edges together to seal. Place on prepared trays. Bake for 15-18 minutes or until golden.