Is it permissible to supplicate that a girl who is asking a question loves the supplicator for the purpose of marrying her in the future?

Love before marriage is permissible if it does not lead to something unlawful. If the girl is not married or engaged, it is permissible to pray that Allah casts your love into her heart so that you may marry her. If marriage to her becomes easy, that is best, for the Messenger of Allah, peace and blessings be upon him, said: "There is nothing like marriage for two who love each other." Otherwise, seek someone else, for perhaps the good lies in that.