Catechumens are baptized at the Easter Vigil. Those already baptized might be received into the Church at the same time or at another time. Those already baptized can be received into the Church during any time of the year after receiving instruction. A baptized Catholic would typically not be confirmed at the Easter Vigil, but at another time and by the Bishop.
In general priests in the US have been delegated authority to bring baptized non-Christians into the Catholic Church. However, this might not be universal.
Priests in the US have not been delegate the authority to confirm a Catholic. The priest can fill out a form asking for permission and if given by the Bishop then they can confirm a Catholic. Whether or not the Bishop gives permission depends on the Bishop. In my old diocese, the Bishop reserved it to himself. In my new diocese it seems permission is pretty routine.
If this has not been done by now, odds are that the person in question will not be getting confirmed on Easter. Holy Week is extremely busy, and I doubt the paperwork could be done in time if it hasn’t been already submitted and approved.