Become is an Inchoative verb of be. That means it refers to change of state (states themselves usually use be). So you often find inchoative verbs like die (= 'become dead') with an associated causative like kill (= 'cause to become dead'). More often the causatives and inchoatives use the same verb, like The car started and Bill started the car.
So, generally, no you can't interchange be and become (or get, another inchoative of be). Each verb has its own rules for whether it takes an object, what kind of things can be its subject or object, and what kinds of constructions it may, must, or must not be used with. This is true of all verbs, but be is the most used, most variable, most irregular, and most meaningless verb in the language. It's part of the grammar; don't think of it as a verb (though it still has endings, they're parasitic). Think of it as an odd-shaped gear in the grammar machine.