It will not affect your ability to sit for NCLEX and become licensed.
It may affect your ability to get accepted into a BSN or MSN program in the future.
NLN accreditation was once considered the "gold standard" for nursing education programs. It is still well-recognized, but there seems to be a small number of schools moving away from it, as it is a very expensive and time-consuming process to go thru accreditation. There are factors other than accreditation that can indicate a quality nursing education program.