NAFC is accredited by NBFE, and they are in the process of seeking accreditation through NCCA as well. For a good article comparing and contrasting the different agencies, refer to http://www.ideafit.com/fitness-library/personal-trainer-certifications on this site.
I think maybe you meant accredited. I checked their site and found nothing. I also did a few searches and found nothing. Usually if an org is accredited, it’s really easy to find out if they are, and by whom. For example, ACE and NASM have personal trainer certs that are both accredited by the NCCA. Do a google search on either of those plus NCCA and it comes right up. Try that with NAFC, nothing. They seem to be “affiliated” with some org but, I’ve never heard of it. I bet you anything, no one has. Lol. I’d be careful about this group. If they are a lot cheaper than any other org that does PT certs, plus not accredited, then it’s probably almost worthless. Good luck finding a cert that you like!