Yes, since Federal and State are processed separately, it is not uncommon to receive them via direct deposit at different times. Here's a link to help you track both:
If you e-filed, start by checking your e-file status. https://turbotax.intuit.com/tax-tools/efile-status-lookup/
Now, once you've received confirmation your federal return has been accepted, you'll be able to start tracking your refund at the IRS Where's My Refund? site..https://www.irs.gov/refunds
You can use this link to track your state, https://ttlc.intuit.com/replies/3300211 be sure to click on your state of residence.
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