Yes, as long as you complete every required prerequisite and your science GPA is genuinely solid, not just passable. A non-science major can actually make your application stand out more, since committees see far fewer of them.
The real tradeoff is time: you'll likely spend more of your MCAT prep budget on content you never saw in an upper-division course, since a biology or biochem major gets a running start on Bio/Biochem and parts of Chem/Phys. Plan your study timeline around that gap rather than being surprised by it. Working with a tutor who scored well without a traditional science background can help you close that gap efficiently instead of guessing at what to prioritize.