Is it possible to bypass the undeposited funds accounts for payments to go straight into the bank account?

Yes, it is, accounts439.

You can directly deposit the customer's payments into your bank. Make sure that from the Deposit to drop-down menu, you've selected your bank account. I've attached a screenshot for your reference:

Also, you can check these articles for future reference:

• Difference between an invoice and a sales receipt.
• What is the difference between an invoice, sales receipt, bill, and statement?
• Should I use an invoice or a sales receipt?

That's it! Feel free to get back to me if you have any other questions. I'll be right here to help.