Nope in Washington and other states you can go buy that 45' motorhome and stacker trailer ($1,000,000) and are not required to have anything other than your Class C license even if the largest thing you've ever driven is a Pinto.
Some states require a Non-CDL Class A license but I don't know what you're required to do to obtain it. Texas is one state that has a non-CDL CLass A license. Remember the CDL part is a commercial license required if you are hauling something for commerce. (Getting paid to transport items)