In short no.
To begin with, your story cards should have acceptance criteria. That is, acceptance criteria specified by the product owner in conjunction with the analyst specifying the behavior required and if meet, the story card will be accepted.
The acceptance criteria should drive the automated unit test (done via TDD) and the automated regression/ functional tests which should be run daily. Remember we want to move defects to the left, that is, the sooner we find ‘em the cheaper and faster they are to fix. Furthermore, continuous testing enables us to refactor with confidence. This is required to maintain a sustainable pace for development.
In addition, you need automated performance test. Running a profiler daily or overnight would provide insight into the consumption of CPU and memory and if any memory leaks exist. Furthermore, a tool like loadrunner will enable you to place a load on the system that reflects actual usage. You will be able to measure response times and CPU and memory consumption on the production like machine running loadrunner.
The automated performance test should reflect actual usage of the app. You measure the number of business transactions (i.e., if a web application the clicking on a page and the response to the users or round trips to the server). and determine the mix of such transaction along with the reate they arrive per second. Such information will enable you to design properly the automated loadrunner test required to performance test the application. As is often the case, some of the performance issues will trace back to the implementation of the application while other will be determined by the configuration of the server environment.
Remember, your application will be performance tested. The question is, will the first performance test happen before or after you release the software. Believe me, the worse place to have a performance problem is in production. Performance issues can be the hardest to fix and can cause a deployed to all users to fail thus cancelling the project.
Finally, there is User Acceptance Testing (UAT). These are test designed by the production owner/ business partner to test the overall system prior to release. In generally, because of all the other testing, it is not uncommon for the application to return zero defects during UAT.