I assume he means that he received an extension on his inspection deadline due to the O2s and Cats no meeting code.
If its running everything stock, there shouldn't be a problem unless the O2s are faulty. Unlikely with a 2005, but stranger things have happened. If its been tuned and the O2s are deactivated, the NYS inspection computer may read a "Not-Ready" which won't allow the car to be passed.