Something that's unfeasible just won't work, no matter what you try. You might decide after many attempts that fitting a sofa into the trunk of your car is unfeasible.
Use the adjective unfeasible to describe things that are impossible. Your plans to travel around the world might turn out to be unfeasible if you haven't saved enough money. It's also unfeasible to get around many cities and towns without a car. The word's been around since the 1500's, a combination of the prefix un, or "not," and feasible, which means "possible" or "easy," from the Latin root facere, "do or make."