【有机会】有种说法是："Has/have a shot"。

She has a shot 她有机会。

I have a shot at winning 我有机会赢。

Do you have a shot at winning the cash 你有机会赢那笔钱吗？

感情上用 shot：She has a shot with him 她跟他有可能。

I don't have a shot with her 我跟她不可能的（她不喜欢我）。