Yes, this is normal for a lot of people. The IRS and your state have separate refunding procedures and schedules, which just means your refunds are processed separately and at different times. So that means some people can get their state refund before getting the federal one, and vice versa.
You can use the IRS Where's My Refund site for the latest status on your federal tax refund.
NOTE: If you claimed Earned Income/Additional Child Tax credit on your return, the government is holding those returns until around mid-February. And refunds from those returns will start releasing in late February. You can find more details on that here PATH Act delayed refunds for some filers
