Yes, I think so!Before Pentecost, when Christ breathed on the disciples and they received the Holy Ghost, they were Born again under the new covenant. The New covenant having been ratified by the death and resurrection of the Testator. (Hebrews 9:16) When the Holy Ghost came on them t Pentecost this was their ordination as Elders, giving them the gifts needed to lead the church.
You could not be a born again believer until after the death of Christ on the cross, which is why we had the baptism of John, this Baptism was no longer in effect after the death burial and resurrection of Christ as the new covenant by his Blood was in effect then. We can see this also play out in Acts with the people who had received the Baptism of John when they became born again and received the Holy Ghost. See Acts of the Apostles18:25, and Acts of the Apostles 19:1-7...
One thing I would say a little differently, is that while the disciples themselves were reborn in that inner room, that they were baptized into the body of Christ on Pentecost, that is, the body of Christ began, and, including providing those gifts for that body to grow and be healthy.
Much love!