Your state and federal returns are processed separately so you can receive one before the other. IRS anticipates most taxpayers will receive their federal refund within 21 days of when they file electronically, with direct deposit, if there are no issues with their return. Majority of tax returns began processing on February 12, 2021. The IRS anticipates a first week of March refund for many Earned Income Tax Credit (EITC) and Additional Child Tax Credit (ACTC) taxpayers if they file electronically with direct deposit and there are no issues with their tax returns.
See the video in this link for a really good explanation of the process:
https://www.refundschedule.com/irs-wheres-refund-status-bars-disappeared/