We are selling items that can be personalized with custom imprints and logos. Is there a way for the customer to specify these with the submission of the order?

Yes, of course, customers can specify their images with the help of product option. For such option you will need to select Option Control "image upload". The uploaded image will be available in order details. Please read more about the options settings in this manual article:
http://www.viart.com/product_options_settings.html
 
Regards,
ViArt Support Team