No. Trout are managed by each state, not nationally. Waterfowl are regulated by the US Fish and Wildlife Service, and the duck stamp you buy is a Federal stamp, not a state one. The state duck stamp you buy in some states, like here in CO, is ONLY for that state, and here, at least, you still need the federal one.

So, if you go elsewhere to fish for trout, you need to get whatever that state requires to fish for trout. Read and follow the regulations wherever you fish, and you will be fine. Don't, and it can get expensive in a hurry.