Could I ask a question in this way?

exodus74Have you already determined about me?

I wouldn't. It is not very natural English.

How should I ask?

exodus74I want to call to ask the employer what he decided.

"I'm calling about the status of my job application."

In my experience it's a "Don't all us; we'll call you" situation, so if you haven't heard, they're probably not going to hire you.

Hi everyone!
In some other context can we say, "Are you determined about hiring me?"?
Thanks.

fatimah0786In some other context can we say, "Are you determined about hiring me?"?

No.
You can say:
Are you determined to hire me?

That implies that you are a Nobel prize winner, and the university offering you a position desperately wants the prestige of your being on their staff.
Or maybe you can predict the stock market, and 1

fatimah0786Are you determined about hiring me?

It doesn't sound correct to me. However, I can assign meaning to a very similar sentence:

Are you determined to hire me?

Here you're asking something unusual, but it's possible. It's asking if you feel that you must hire me. It's asking if you feel that you must do anything you c

Thanks C.J and AS, your replies were very helpful.