No, at this time it is not possible to link your existing Stitcher account to the Stitcher Premium benefit you get with your Platinum, Streaming Platinum, or Platinum VIP subscription. This means that if you want to maintain your existing listening history, podcast preferences, etc., you may want to keep your existing Stitcher subscription.
If you are currently a Stitcher Premium subscriber, you will still have your purchased Stitcher Premium subscription which will continue to automatically renew unless you cancel it directly with Stitcher or through your app store provider (Apple App Store, Google Play, etc.).