No, the date is only an estimate.
Accepted means your tax return is now in the government's hands and has passed the initial inspection (your verification info is correct, dependents haven't already been claimed by someone else, etc.).
After acceptance, the next step is for the government to approve your refund.
If your return was accepted less than 21 days ago, hang in there. It can take anywhere from a few days to 3 weeks to go from acceptance to approval. This timeframe is unrelated to how, where, or when you filed and it isn't connected to how quickly you got your refund last year.
And it doesn't mean you're being audited – the 2017 "audit season" doesn't start until summer.
IRS representatives will be able to research the status of your refund if your return was accepted (received) more than 21 calendar days ago. Call them at 1-800-829-1040, but prepare for potentially long wait times.
The IRS issues most refunds in less than 21 days, you can check the status of your federal return here: https://www.irs.gov/refunds
Please see below for more details.
https://ttlc.intuit.com/replies/3958820
https://ttlc.intuit.com/questions/1894389-when-will-i-get-my-irs-tax-refund
https://ttlc.intuit.com/questions/2840013-does-accepted-mean-my-refund-is-approved
https://ttlc.intuit.com/questions/2724106-my-return-is-accepted-but-still-not-approved-is-there-a-pr...
