It's up to the receiving bank, but it will likely be refused and sent back to the IRS, who will then issue you a paper check and mail it to the address on the return.
If you had any TurboTax fees and chose to pay them out of your Federal refund, an intermediary bank is involved. So in that scenario, if your bank refuses the deposit it goes back to that intermediary bank, which will be the one who will mail you the paper check, not the IRS.
If you did use that option to pay your fees out of your Federal refund, we can tell you how to follow the status of the refund once it leaves the IRS.
FAQ:
Can I deposit my tax refund into someone else's account?
https://ttlc.intuit.com/replies/3301940
