In this example; yes. But that has probably more to do with your example (the overall if statement could still come out true, if B is true), than what you are asking about. At least it feels like your question has more depth, technically, than what I’m answering here. Did you mean: “Will B be calculated at all, if A is true?”
And it’s great knowledge for a n00b wannabe scripter like me, who hadn 't even considered things like this. So that means it’s an optimization if you place the simplest-to-evaluate statements first in such an arrangement. Never thought about that. That’s the prize for being self taught. You have no idea what you have missed of valuable information