No, it is generally not possible to pursue Aerospace Engineering with a background in non-science subjects. Aerospace Engineering requires a strong foundation in subjects like physics, mathematics, and chemistry, which are essential to understanding the principles of flight, aerodynamics, and mechanical systems. However, if you are determined, you could consider taking preparatory courses in these subjects before applying to an Aerospace Engineering program. It's important to check the specific eligibility criteria of the universities or colleges you are interested in.