Yes, a non-technical person could very much become a Data Analyst or Data Scientist. He/She needs a good quality resource to study and mentor to guide them to meet their goals. You can enroll in Intellipaat's Data Science Masters Course to help you learn Data Science from scratch to advanced levels. This course will help you become a Data Scientist equipped with the necessary skills to help you crack any interview for the role. Even though you're a non-engineering student you can aim to break into this domain. Check out this video here to help you gain more insight into the course.
Intellipaat offers a Data Analytics Certification Course to help you kickstart your career journey!