Yes, of course! A non-technical person could do Data Science. And as a matter of fact, anyone can become a Data Scientist, if they possess the right skill sets. I am saying this with much confidence because there have been many cases where people from all sorts of backgrounds like web developers, software engineers, math and statistics professor, history teacher, Systems Engineer, and many such incidents where one is from a completely different background, but with time, and possessing the right skill sets one can do Data Science.
If you are aspiring for a career in Data Science, then check out the Data Science Masters Course that Intellipaat offers you. This Master's course provides 10+ courses in collaboration with IBM, you get to work on 30+ projects that will offer you exclusive industry exposure. You get a host of other benefits too along with the course. Check out this following video where Melvin, one of our learners, had no technical background before becoming a Data Scientist. Do check out this video.