Is there any doctrinal violation in the saying: "Our Prophet, my most precious wish is to visit you once in my life, pray beside you, supplicate, and recite the Qur’an"?

There is no religious prohibition or doctrinal contradiction in this, as its purpose is to raise children to be attached to their Prophet and to love visiting him, without delving into details related to it, such as undertaking a journey specifically for that, or its inclusion implicitly in visiting his mosque, praying in his mosque, and reciting the Quran, all of which are desirable.