That depends 100% on how good a student you are, whether you've got a knack for organic, and how much time you have to spend on it.
The short answer is "Yes".
The longer answer is: Yes, and you'll have one distinct advantage over the 'normal' route in that you won't be wasting time with non-MCAT material. You'll also have one big disadvantage - a lot of MCAT passages are based around experiments, and having spent lots of time in the organic lab gives you good 'science common sense' that helps you think about the information in the passage. Skipping organic chem class means missing out on some of that lab time.
The even longer answer is: yes and here's how you do it
1. Print out the AAMC science content outline (specifically the organic chem pages from BioSci).
2. Buy the EK and the TBR organic chem MCAT books
(lots of folks may disagree with me here, but I 100% think that buying pure orgo textbooks or review books is a waste of time. EK/TBR is all you need. My context for thinking this is: the orgo on the MCAT is so simple compared to a full college class that even review books are going to be more than you need. As an undergrad myself, I failed organic chemistry [not a euphemism, my organic chem test average was like a 50] and I still got a 12 in BS back in the pencil-and-paper days when orgo was 40% of the section. Remember, it's fundamentally a reading test.)
3. Start by working through the entire EK organic book. Don't do the quizzes at the back of the book.
Here, it's okay if you feel like you're not getting a lot of it. Just let it wash over you and try to get a feel for the language of organic chem and the general principles involved.
4. Then work all the way through the TBR book. Slowly and carefully. Treat it like a science class.
5. Go back and re-do the EK book, and finish by doing the quizzes at the back of the EK book.
This will take a ton of time, to be sure. But way less than a full year's worth of orgo classes, lectures, and labs.
Good luck! 🙂