Can you get into a doctoral program without degree for Zoology?

No, you cannot get into a doctoral program in Zoology (or any other doctoral program) without a relevant bachelor's degree, and usually a master's degree as well. A doctoral program is a terminal degree, building upon years of prior education and research experience. The bachelor's degree provides the foundational knowledge, and the master's degree (though not always required depending on the program) often provides the specialized knowledge and research experience necessary to succeed in doctoral-level work.