Right now I am doing my AA degree and in my accounting class my instructor want me to introduce myself so what I have to answer these question my major is financial.

Why are you taking accounting? What are your career aspirations

How can you expect us to answer that for you? Those are personal questions that pertain to you and why you're taking accounting and what you hope to gain from it career wise. Think about that and there is your answer.

Can I say I am taking accounting because it is realted with my major . My major is finance and in my field it is very important to know accounting . My carrer aspirations are to work in the bank of america and try to create a strong relationship
With clients and other member in the bank

Add how you will create that strong relationship--by doing what?

Don't say "try" -- be definite, you WILL.