Would a .410 shotgun be enough gun for hunting a chupacabra?

No, of course not, you should not hunt chupacabra with a .410 shotgun. It's just not done, and you should be ashamed of yourself for even considering it. In order to comply with chupacabra social etiquette, you must carry a 16" naval gun whenever hunting chupacabra in order to avoid hurting his feelings.