Hello,
Yes and No.
If you have your customers payment details and their permission to setup recurring payments on an invoice each month, then you would actually setup a recurring Sales Receipt instead of an invoice. (QBO Essentials or higher, not available in SimpleStart)
Similar to an invoice, a sales receipt records the sale but instead of hitting Accounts Receivable, it posts directly to your income account and bank account where the payment is being received.
It will record the sale and the payment in one transaction and allow you to use your merchant account to charge your customer for the sale on a schedule you set.
Here are more details about it.
https://quickbooks.intuit.com/learn-support/en-us/help-article/sales-receipts/set-recurring-sales-re...