Question:
Does fasting have its place in today’s times?

Answer:
Yes, I would say that fasting definitely has a place for the believer today.
The word “fast” means “the voluntary abstinence from food,” and it is used in the New Testament, in one form or another, 30 times. Although it had become a common practice among Jews, there are many Scriptures which teach that it was to be continued by Christians.
For example, in the gospel of Matthew Jesus was approached by some disciples of John and they asked Him why His disciples did not fast, to which He replied, “Can the children of the bridechamber mourn, as long as the bridegroom is with them? but the days will come, WHEN THE BRIDEGROOM SHALL BE TAKEN FROM THEM, AND THEN SHALL THEY FAST” (Matthew 9:14, 15). Jesus was referring to the time when He would ascend to heaven to sit at the Father’s right hand. So then, ever since His ascension, when the bridegroom was taken from them, believers in Him (His bride, the church) were to fast.
We see various instances of Christian believers fasting in the book of Acts and in 1st and 2nd Corinthians (see Acts 13:2, 3; 14:23; 1 Corinthians 7:5; 2 Corinthians 6:5; 11:27); and in each case (except those cited in 2 Corinthians) it is accompanied by prayer. It would seem that through fasting and prayer the will of God could be more easily discerned.

We see no evidence from Scripture that these practices were to be discontinued. And if we consider again the words of our Lord Jesus from Matthew 9:14, 15, can we not infer from them that fasting should, at times, make up a part of the Christian’s life until the Bridegroom returns? I believe we can, and should. May the Lord Jesus give each of us to be exercised about this truth, and may He then give us the grace to act on it as the occasion would call for it.

P.S. I should add that fasting for the Jews was a COMMAND, for they were under LAW, but for the believer in this day of GRACE, fasting is a PRIVILEGE. The Lord Jesus illustrated this difference between LAW and GRACE in the next two verses (Matthew 9:16, 17), the “new cloth” and the “new wine” symbolizing the principles of GRACE; the “old garment” and the “old bottles” symbolizing the principles of THE LAW. He was teaching us not to try to mix the two together.