The test can be taken 3 times. See page 22 of above document for more info
(c) A person who does not achieve a passing score on the NREMT-Basic Certification
Examination as determined by the NREMT shall be permitted two additional opportunities to sit for the examination and to achieve a passing score. A person who achieves a passing score on the second or third attempt, as applicable, and has met all other requirements for EMT-Basic certification as identified at N.J.A.C. 8:40A-7.2 shall be issued an EMT-Basic certification card.
(d) A person who has completed an EMT-Basic training program and has failed the
NREMT-Basic Certification Examination three times may become eligible to sit for the examination by successfully completing an approved Core 13 program and obtaining an official "EMT-Basic Retraining Program: Certificate of Eligibility," as completed by the program coordinator.
1. Upon compliance with the requirements set forth in (d) above, a person shall
be permitted three additional opportunities to sit for the NREMT-Basic Certification Examination.