can I get direct deposit of my refund without the "5 days early" ($35) fee?

You do NOT have to use the "5 day early" offer and you do NOT have to use "refund processing.

There is not a fee to e-file your tax return and there is not a fee to have direct deposit of your refund.

Did you choose to pay for using TurboTax by having the fee taken out of your federal refund?  That means you will pay an EXTRA FEE of $40 ($45 in CA) to have a third party bank receive your refund from the IRS, take out enough to pay TT, and then send you the rest of the refund.  ( The third party bank keeps the $40 or $45 fee for itself.)

You do not have to do that.   Pay upfront BEFORE you file --- pay using a credit or debit card.

REMOVE REFUND PROCESSING FEE

https://ttlc.intuit.com/turbotax-support/en-us/help-article/intuit-account-billing/remove-pay-refund-fees-turbotax-online-change/L7UxC6ZZp_US_en_US?uid=m6r4xelq