Not necessarily. They didn't take out any tax withholding on the interest did they? You might have to pay back some of the first refund.
You cannot change or add anything on the return that you e-filed. It is too late, just like when you put an envelope in a US mailbox
If the IRS accepts your return, then you have to wait until it has been fully processed and you have received your refund or paid the tax due. THEN you can prepare an amended tax return 1040X and mail it in. You cannot e-file an amended return. Meanwhile, DO NOT change anything on your return until you start the amended return. If you did change or add the missing info then take it out and put your return back to the way it was when you first filed it.
You can check your efiling status here,
https://turbotax.intuit.com/tax-tools/efile-status-lookup/
How to amend an Online return
https://ttlc.intuit.com/community/amending/help/how-do-i-amend-my-turbotax-online-return/00/27577