彼/彼女に見込みはない
He/She doesn't stand a chance.

A: Do you think she can be an actress?
B: She doesn't stand a chance.
A: 彼女は女優になれると思う？
B: 見込みはありませんね。

★not stand a chanceで「見込みはない」。
She doesn't stand a chance of being an actress.