No; currently, QuickBooks Premier is a desktop software and not a subscription service. That means that when you buy the software, you own it.
QuickBooks supports its desktop software, such as Premier, for three years. QuickBooks Premier 2012, for instance, is supported until May 31, 2015. During this time period, you can expect to receive automatic updates and fixes, as well as support and access to any integrated add-on services. After May 31, 2015, Intuit will no longer support the 2012 software. Any integrated add-ons, such as payroll, online banking access and credit card processing through merchant services, will cease working. If you don't use any of these, you may not notice any difference at all, except that you will no longer receive updates and Intuit customer service will not provide any related further assistance.