Sure there is Customer Service for paying customers (BASIC desktop could use it ...Free Online users cannot)...but now that the tax season is over, they may no longer be in on weekends...adn hours start getting reduced:
https://ttlc.intuit.com/questions/1899263-what-is-the-turbotax-phone-number
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Check your E-file status...maybe your tax file was actually Rejected:
https://turbotax.intuit.com/tax-tools/efile-status-lookup/
IF any e-file was rejected, then you have to fix it and re-e-file....or if you can't get it to go thru, then switch to the Mail-in setting and you print it out and you take it to the post office to mail to the IRS, or the the CA-FTB.....depending on which are the problem.
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Only problems for late-filed taxes are if you owe them more $$. IF you are getting a refund, there's usually no penalties assessed.....but if you wait too long the state (particularly CA) starts sending out letters getting on your case and perhaps assessing taxes you don't really owe had you filed on time.
____________*Answers are correct to the best of my knowledge when posted, but should not be considered to be legal or official tax advice.*