Was that TurboTax - that's just an estimate. It receives no updates to return/refund processing.
The IRS says that for most taxpayers (like 90%) on average it takes about 21 days from completion of processing. In reality, some take longer. Check your refund status on the IRS website
If you are due a Federal refund that was approved by the IRS, you should get it at some point.
"supposed to receive my return by the 5th"...
Where did you get the March 5 date? Was that from TurboTax or the IRS? TurboTax provides an estimate based on averages. Go by what is shown on the IRS "Where's My Return" tool.
Does that tool say the funds were sent?
If that IRS tool says March 5 was the day they sent the funds, the IRS says to allow up to 5 days due to variations in bank processing procedures. Or is March 5 the date it said to contact the bank if you hadn't received it by then? In other words was it actually sent 5 days before March 5?
In any case, if it's been 5 days since the IRS actually sent it, you can phone your bank to see if they have any word of an expected deposit, or to ask if they may have refused it for some reason and sent it back.