Currently no, because there's no mechanism to collect customer name and address information. Currently, that information is collected through Paypal.
However, you could certainly modify Market theme to act in that role. You would simply need to add another form page that collects customer information.
Then, you'd modify one line in the "cart.php" file that posts the product data so that it posts to your new form. Then, that form page you created would post all data to you via email or whatever.