Whisk 1 cup flour, water, honey, and yeast together in a bowl. Let stand until yeast softens and mixture is bubbly, about 20 minutes.

Stir remaining 2 cups flour, olive oil, and salt into yeast mixture. Beat in a stand mixer fitted with a dough hook attachment, adding more flour as necessary, until a soft and tacky dough forms, 3 to 4 minutes. Place dough into an oiled mixing bowl, cover the bowl with a plate, and let rise until doubled in volume, 90 minutes.

Punch dough down and transfer to a lightly floured work surface. Divide into four equal balls. Cover each ball and let rest until dough rises slightly, 30 to 45 minutes.