The answer is yes. This gift of the Holy Spirit was to end when the New Testament was completed. This was clearly stated by Paul in 1 Corinthians 13:8-13. The verses tell us: “Love never faileth: but whether there be prophecies, they shall be done away; whether there be tongues, they shall cease; whether there be knowledge, it shall be done away. For we know in part, and we prophesy in part; but when that which is perfect is come, that which is in part shall be done away. When I was a child, I spake as a child, I felt as a child, I thought as a child: now that I am become a man, I have put away childish things. For now we see in a mirror, darkly; but then face to face: now I know in part; but then shall I know fully even as also I was fully known. But now abideth faith, hope, love, these three; and the greatest of these is love.” Paul refers to “that which is perfect.” The word “perfect” means complete or whole. At the time Paul wrote, the revelation from God was not in its final written form. Now it is complete. “That which is perfect” (the New Testament) has come and that which was “in part” (miraculous gifts) has been done away. So we can see that Paul’s inspired prediction has come true.
Tongue speaking in the New Testament referred to speaking in foreign languages not known to the speaker. There were three groups in the New Testament able to speak in tongues miraculously. None of these groups is present today. The miraculous gift of tongue speaking was limited in time to the period before the New Testament was completed. That time has come and gone, and so has the ability to speak in tongues, along with all other miraculous gifts of the Holy Spirit. We have the Word of God. Let us follow it in all things and teach only the truth