No, games are encrypted per console. Otherwise anybody could just buy eShop games and copy them onto SD cards to share with their friends, and CFW would never have been invented (people would have just uploaded the contents of their SD cards). Somebody released something called "moveable0key.sed" or something like that which allows you to play games from the same SD card on multiple consoles but it essentially bricks many functions including eShop so is not recommended unless you have a NAND backup to restore from plus a hardmod or a9lh.