The info provided on the website indicates that it is accredited (only) by the national organization that accredits proprietary (private-for-profit) tech schools. That means that any courses you complete there probably won't transfer to a "regular" college or university later on if/when you want to further your nursing education and career.
Also, nothing is said about NLNAC or CCNE accreditation (the two national organizations that accredit nursing programs, specifically). While there is no state in the US that requires graduation from an accredited program in order to be eligible for licensure
, most programs of higher education for nurses, and a growing number of healthcare employers, will only accept graduates of (NLNAC or CCNE) accredited programs. This includes some of the most desirable healthcare employers in the US, inc. the entire US military, the entire VA system, most academic medical centers, and lots of others.
Does going to a program without the preferred accreditations mean you won't be able to find employment? Probably not. But it does mean that you're closing the door on a lot of future professional and educational opportunities, before you've even gotten into nursing. IMO, that's a serious mistake.
Best wishes for your journey!