If you need just to export some information from ViArt Shop to Quickbook then it is possible as ViArt export functionality is based on CSV files and Quickbooks supports CSV import.
However, in case you are interested in some integration with your Quickbooks merchant account, then it would be great if you could send us more information about your requirement to support@viart.com so we can investigate the possibility and set you the quote for such kind of integration.