Not if everything is up-to-date. The current versions of PS/ACR are PS 2014.2.2 and ACR 9.0.
What ssprengel said. There's no need to use the DNG Converter if you're using Photoshop CC. Any and all updates (and new features) are included as part of your subscription.
Note that if you have a brand-spanking-new camera model that just hit the market, you'll have to wait for the next Camera Raw update. (It's usually not too long, about a few months or so.)