Absolutely! We use PayPal as our primary payment gateway, but you don't have to have a PayPal account and you can pay by credit card during the checkout process.
UPDATE 2018: We now offer direct payment by credit card through Stripe. You'll see that as an option next to the PayPal option on the Checkout page.
Watch this video to see the steps for paying with credit card through PayPal, without a PayPal account: