In order for artwork, especially vector artwork, to be "pixel perfect" the anchors and paths need to rest on the pixel grid properly.
It is exceptionally customary for all applications to not alter artwork upon export - beyond anti-aliasing or color profiles. In fact, if an application's export feature were to alter the core construction of artwork it would most likely be touted as a very problematic bug or failure in the application. The entire point of an application exporting something is to export what you see, not alter its construction.
To this end, no, you can't export "pixel perfect" art if the art isn't initially constructed in the vector application to be pixel perfect. Exporting isn't going to move and shift anchor points to align with the pixel grid.