Yes, credit card charges are included on a cash basis report in QuickBooks.
Credit card charges are generally considered paid for tax purposes when charged, and this is how QuickBooks treats these expenses.
An internet search on this topic reveals a variety of unsupported claims about the application of this accounting treatment, specifically that it varies by the type of card issuer or the type of card. The claims we’ve investigated are unsupported. Simply put, credit card or other charge card purchases are considered paid for tax purposes when charged, and that treatment does not depend on the card type or card issuer.
Intuit offers additional explanation for the treatment of credit card charges in this Intuit knowledge base article.