Yes, many people have received their federal refunds. Federal taxes and State taxes are handled by different entities, and one has nothing to do with the other. Keep checking Where's my Refund, because the IRS is the authority on your Federal tax return and refund.
This is the process that your return is going through:
Pending: https://ttlc.intuit.com/replies/4193097
Accepted (this is the last update that TurboTax will get from the IRS): https://ttlc.intuit.com/replies/3958820
Processing (the IRS does not inform TurboTax of this stage. Keep checking Where's my Refund): https://ttlc.intuit.com/replies/4689484
Approved (TurboTax is also not informed of this stage): https://ttlc.intuit.com/community/return-status/help/does-accepted-mean-my-refund-is-approved/00/265...
As you can see, since Where's my Return shows that your's is Processing, it is moving right along in the system.
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