No, even though it's technically possible, you are supposed to buy the same games over and over again in this brave new world of DRM and DLC. Of course they could offer an add-on conversion device, or a service where you send in your old games and they convert them for you. But they won't, because they want to sell them to you again.
...And then they have the audacity to complain once their devices get hacked for homebrew so you can continue to play your legally purchased old games on a new generation of hardware.
"Well certainly with the Xbox 360, we had some challenges at the launch. Once we identified that we took control of it. We wanted to do it right by our customers. Our customers are very important to us." -Larry "Major Nelson" Hryb (10/2013). Note: RRoD was fixed with the Jasper-revision 3 years after the launch of 360
"People don't pay attention to a lot of the details."-Yusuf Mehdi explaining why Xbone DRM scheme would succeed
"Fortunately we have a product for people who aren't able to get some form of connectivity; it's called Xbox 360,”-Don Mattrick
"The region locking of the 3DS wasn't done for profits on games"-MDMAlliance
