Yes, your car definitely has transfer clutches, which are controlled by a solenoid, usually called the Duty C solenoid.
Does the FWD fuse change the symptoms?
As I recall, the drum that the clutch plates ride in can get grooved or rusty, which can physically prevent the clutches from releasing. Otherwise the solenoid can stick, and sometimes the gasket that seals the solenoid to the case can leak, so fluid pressure is not held to the clutches. Typically best to just get everything. The dealership I worked at stocked it all, gasket for the case, solenoid, and gaskets for the solenoid (there's a spacer under it, and 2 gaskets, you'll have to replace both). If they have it in stock, they'll probably accept returns if you don't end up using it (make sure to ask first). As I recall the techs always asked for a little fluid tube back there, too. But the one time I did the job I didn't replace it, and I'm not 100% sure why they did (maybe someone else here will know).