If you are referring to using mouthwash while the invisalign aligners are still in, then no. Invisalign only recommends that you drink room temp to cool water with the aligners in. The reason for this is because different chemicals can distort or degrade them. Seeing as they move teeth based on the their shape, distorting of aligners is something we want to avoid. Also different temperatures can distort them as well.
Regarding the use of mouthwash while invisalign aligners are not in, yes. In this case, it would be beneficial to use the mouthwash, then rinse with water to get any of the mouthwash that can stain off. At this point the anti-microbial benefit has been long received.
Hope this helps.
My best to you!
William F. Scott IV, DMD