existe la posibilidad de que

there is a possibility that

→ existir
phrase Rare #48,498
there is a possibility that Usually followed by the subjunctive when expressing uncertainty. The verb existe agrees with posibilidad, not with the following clause.
SP: Existe la posibilidad de que lleguemos tarde.
EN: There is a possibility that we will arrive late.

Existe la posibilidad de que ese rumor sea cierto.

There's a possibility that rumor is true.

Existe la posibilidad de que no juegue el viernes.

There’s a chance I won’t play on Friday.

Existe la posibilidad de que lo que dijo sea cierto.

There is a possibility that what he said is true.

Existe la posibilidad de que podríamos cumplir con la Sra. Campbell?

Is there any possibility that we could meet with Mrs. Campbell?

— Mother Night (1996)