Yes, if fact you can. Follow these instructions;
1. Get some raider armor and fully repair it. 2. Go into the AntAgonizers Lair and reverse-pickpocket the raider armor onto the AntAgonizer. 3. Exit the lair's throne room and go back in. She should be wearing the raider armor. 4. Pickpocket the AntAgonzer's Armor off off her and take it to The Mechanist. 5. Give the AntAgonizers Armor to The Mechanist and he will give the Protectron's Gaze to you. 6. Kill the Mechanist and take his armor. 7. Take the Mechanist's Armor to The AntAgonizer. She will reward you with the Ant's Sting.