Yes. For the service fees you pay us, you get an invoice from EventSquare. You'll find all your invoices in Settings › Invoices.
Does an invoice show Reserved? Then we pay it automatically from your balance as soon as enough is available.
Note: Sales invoices is a different page. There you find the invoices your organization sends to business customers, if the Invoicing module is active.
You don't get an invoice for a payout. Want to see how your sales and payouts add up? Download a financial report in Reports › Financial in your edition.