A lot of things that Jesus did, and a lot of things in the Acts of the Apostles, show that Christ’s new covenant was going to undo the sins and sufferings of Israel and humanity, and make everything right again (or even better).
If you ever go to Easter Vigil and listen to all 14 of the salvation history readings, you can clearly see this correspondence between Old Testament and New Testament.
So yes, Pentecost was a sign that, insofar as the division of tongues was a punishment, the Holy Spirit could lift it; and that in the new heaven and new earth that are still to come, language will no longer be a barrier.