Yes, union dues are deductible on your PA state tax return (but not your federal return).
You can claim a deduction for an unreimbursed employee business expense by filing a PA Schedule UE, Allowable Employee Business Expenses form along with your PA-40 Personal Income Tax Return.
Commonwealth of Pennsylvania - Unreimbursed Business Expenses
If you live in a state that lets you deduct job-related expenses, the information will flow from your federal return to the state return, so enter it in Federal > Deductions and Credits > Employment Expenses > Job-Related Expenses
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