My taxes were accepted by the IRS 1/29/24. I have not received it. It is now 5/19/24. TurboTax that said my check was on the way and should be in the bank Feb. 19, 2024.

The Feb. 19 date from TurboTax may just be the common 21 day estimate that TurboTax gives all efilers.   Go only by the info you get from the IRS.  What message do you see at the IRS "Where's My Refund" tool?

https://www.irs.gov/wheres-my-refund

Does the IRS WMR tool say your return is received and is "still being processed?"   Or does it say your refund has actually been sent and provides a date?    Sometimes there is a message that they need more info.

Also, how did you pay your TurboTax product fees?   Did you pay upfront with credit/debit card, or did you choose to pay them out of your Federal refund?

Once you provide that additional info, we can tell you whom to contact.