Not all believers have the Holy Spirit enabled gift "diversities of tongues." But all believers can pray from their born-again spirit.
1 Corinthians 14:14 KJV
14. For if I pray in an unknown tongue, my spirit prayeth, but my understanding is unfruitful.
I will go one step further and say all believers HAVE done this. Perhaps you were interceding under a burden from the Holy Spirit. Perhaps you were praising God with hymns and spiritual songs. Perhaps you were moaning or sighing or crying out. In each of these cases you were praying with sounds that you could not articulate in your natural language. I think people are expecting to be taken over by the Holy Spirit and that He will speak through you. That is not the way it works. You have an utterance. You cannot put what you are feeling (for the lack of a better word) into words, so you simply groan forth or sigh, or cry. This sounding is essentially meaningless to all who hear you. But God can hear it, see into your spirit, and know the meaning of your cry.
1 Corinthians 14:2 KJV
2. For he that speaketh in an unknown tongue speaketh not unto men, but unto God: for no man understandeth him; howbeit in the spirit he speaketh mysteries.
I will be so bold as to say you have all prophesied. Just as there are two kinds of tongues (one is the gift of the Holy Spirit, on and expression of your born again spirit), there are two kinds of prophesying. Tongues are when you cannot articulate your inner move. Prophesying is when you can articulate what you mean. You do this when you praise in songs and hymns from out the spirit of Christ in you as apposed to the Holy Spirit utterance. I write songs from that bubble up within me.
Ephesians 5:18-20 KJV
18. And be not drunk with wine, wherein is excess; but be filled with the Spirit;
19. Speaking to yourselves in psalms and hymns and spiritual songs, singing and making melody in your heart to the Lord;
20. Giving thanks always for all things unto God and the Father in the name of our Lord Jesus Christ;
Psalms 45:1 ISV
1. My heart is overflowing with good news; I speak what I have composed to the king; my tongue is like the pen of an articulate scribe.
The idea is to have a song "bubble up" from within.
Amos knew it.
Amos 3:8 ISV
8. A lion has roared! Who will not fear? The Lord GOD has spoken! Who will not prophesy?
David taught his singers to do it.
1 Chronicles 25:1-3 KJV
1. Moreover David and the captains of the host separated to the service of the sons of Asaph, and of Heman, and of Jeduthun, who should prophesy with harps, with psalteries, and with cymbals: and the number of the workmen according to their service was:
2. Of the sons of Asaph; Zaccur, and Joseph, and Nethaniah, and Asarelah, the sons of Asaph under the hands of Asaph, which prophesied according to the order of the king.
3. Of Jeduthun: the sons of Jeduthun; Gedaliah, and Zeri, and Jeshaiah, Hashabiah, and Mattithiah, six, under the hands of their father Jeduthun, who prophesied with a harp, to give thanks and to praise the LORD.
1 Corinthians 14:31-32 KJV
31. For ye may all prophesy one by one, that all may learn, and all may be comforted.
32. And the spirits of the prophets are subject to the prophets.
Of course this has nothing to do with prediction or "this saith the Lord." This manifestation will only occur with the Holy Spirit enabled gifts, specifically the Word of Wisdom. The WOW is the gift to know things from the mind of God that cannot be known by any other means, including the future.