There are lots of PM roles within organizations that don't require IT skills. There is such a thing as a Business PM. I have had a successful PM consulting practise for the last 12 years. I have had probably half of my career as an IT PM and about half as a business PM. The general PM skillset is the same, but your domain experience will greatly determine your success in the domain you want to consult in.
I think the key is that you've said you're already a BA/PM (in a fulltime role I presume), so you're asking if you can be successful as a consultant. Of course, you can do the job! The bigger challenge then is how you will get work, and adjust your mindset to treat this as a business rather than as a job.
I've written some articles on this on my website, StartRealWork.
Going into business for yourself can be very rewarding, but you will have to make a lot of mental adjustments. You will also need to prepare yourself to deal with alot of small business responsibilities, including book-keeping, sales and marketing, relationship management, staffing, payroll, self-education, and all of this on top of delivering the actual work to your clients.
Its a great journey, make sure you have a roadmap and a good vehicle before starting the trip!
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