You don't need a food processor to make semolina dough, but you will need to use some elbow grease.
Combine 2¼ (11¼ ounces) fine semolina flour and ⅔ cup (5⅓ ounces) warm water in large bowl. Using your hands, knead in bowl until shaggy ball forms and no dry flour remains, about 3 minutes. (If dough sticks to fingers after 3 minutes, add up to ¼ cup flour, 1 tablespoon at a time, until barely tacky. If dough doesn’t become cohesive, add up to 1 tablespoon water, 1 teaspoon at a time, until it just comes together; knead 1 minute longer.)
Transfer dough to clean surface and knead until dough is elastic and forms smooth, uniform ball, 10 to 12 minutes.
Shape dough into ball. Wrap with plastic wrap and let rest at room temperature for 30 minutes or up to 4 hours.