This passage refers to many parallels.
Books of the Prophets
The larger passage in Isaiah reads 66:17-21
Those who sanctify and purify themselves to go into the gardens, following one in the midst, eating pig’s flesh and the abomination and mice, shall come to an end together, declares the Lord.
“For I know their works and their thoughts, and the time is comingc to gather all nations and tongues. And they shall come and shall see my glory, and I will set a sign among them. And from them I will send survivors to the nations, to Tarshish, Pul, and Lud, who draw the bow, to Tubal and Javan, to the coastlands far away, that have not heard my fame or seen my glory. And they shall declare my glory among the nations. And they shall bring all your brothers from all the nations as an offering to the Lord, on horses and in chariots and in litters and on mules and on dromedaries, to my holy mountain Jerusalem, says the Lord, just as the Israelites bring their grain offering in a clean vessel to the house of the Lord. And some of them also I will take for priests and for Levites, says the Lord.
we find parallels in the Book of Jeremiah, prophetising that all nations would gather in the New Jerusalem and worship the One God:
At that time they will call Jerusalem The Throne of the LORD, and all nations will gather in Jerusalem to honor the name of the LORD. No longer will they follow the stubbornness of their evil hearts.
Then this city will bring Me renown, joy, praise and honor before all nations on earth that hear of all the good things I do for it; and they will be in awe and will tremble at the abundant prosperity and peace I provide for it.’
The Holy Spirit is not mentioned explicitly; the second passage is God speaking in first person. On the background of Jeremiah, the enumeration of the people concerned does not seem to be exhaustive but rather exemplary.
This gospel of the kingdom shall be preached in the whole world as a testimony to all the nations, and then the end will come.
The mentioned passage Acts 2:1f. is clearly a preparation by means of the Holy Spirit, speaking to the first successors of Jesus to spread this message to the people.
We read in the Quran, 22:67
For every congregation We have appointed acts of devotion, which they observe. So do not let them dispute with you in this matter. And invite to your Lord; you are upon a straight guidance.
On the Day when We raise up a witness from every community — those who disbelieved will not be permitted, nor will they be excused.
It is saying that, although prophecy has come (past tense) to all people, the missionary work is still to be done (future tense) before the Final Judgement and the Last Day.
The Work of the Holy Spirit
The Jewish prophets, Jesus and the Quran all three speak of the End of Time whereas the appearance of the Holy Spirit in Acts 2:1f is an event in the time (now past). Hence, it is inadequate to see a direct parallel in the two passages you mentioned.
If we assume that any sign or revelation of God is transferred through the Holy Spirit (which would then be a force comprising all angels and signs), this must be the work of the Holy Spirit. But this is only a well-based assumption, not a truth that is clearly confirmed in prophecy.