An employee is found to be making errors in documenting a patient’s chart and is

An employee is found to be making errors in documenting a patient’s chart and is given a verbal warning for this error. The employee is placed on a corrective action plan and is to receive training on the proper method of documenting a patient’s chart. The employee does not comply with the corrective action determined, and the employer fires the employee subsequently.
Does the employee have the right to fight the termination of employment based on due process?
Does the employer have to offer even more training for the employee?