Absolutely. You should be able to e-file next year with no issue. For future reference, if you receive more than one copy of a W-2 from the same employer with additional information such as your situation with NJ and NY state income tax withholding, you must enter all the information in only ONE W-2 when completing your tax return. In this case you would simply 'Add another state' line in the W-2 to include both state tax withholding.
This should not prevent the use of e-file.
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