Federal and state tax returns are processed by 2 separate entities so one being processed before the other is a usual occurrence. Having said that, yes you may feel free to contact the IRS regarding the status of your federal refund by following the steps below:
https://ttlc.intuit.com/community/refund-status/help/what-if-my-irs-refund-is-taking-longer-than-21-...
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