I have a 414(h) pension plan as a teacher in New Jersey. Am I permitted to also contribute yearly to an individual Ira?

Do NJ teachers get pension and Social Security?

In New Jersey, teachers Social Security is paid by the state and is a large expense: $785.5 million for FY2020, or 5% of NJ’s state government’s education spending, so not a trivial amount.
Social Security.

	Average Salary	Student:Teacher Ratio
Connecticut	$76,465	12.7
National Average	$64,545	15.7