No. There is no pathway to release or furlough for an inmate who has been inside less than a week, and the birth of a child does not qualify as a furlough-eligible event in any correctional system regardless of how long someone has been incarcerated.
Furloughs require an established institutional record built over a significant period of time. An inmate who arrived less than a week ago has no track record, has barely completed intake processing, and has not had any opportunity to demonstrate the sustained compliance and trust that furlough consideration requires. The timeline alone makes this impossible before any other factors are considered.
Beyond the timing, childbirth is not among the circumstances that qualify for furlough in the systems that offer them at all. Imminent death of an immediate family member and funeral attendance are the narrow windows that exist. The arrival of a new life, as significant as it is, does not meet that threshold.
The most realistic option is arranging a phone call or video visit around the time of the birth if the facility's protocols allow it during the orientation period. That request needs to go through his counselor and there is no guarantee it will be approved this early in the incarceration, but it is the only avenue worth pursuing.
Once the baby arrives, getting photos to him through InmateAid is the fastest way to put something tangible in his hands. A letter with photos of his newborn child arriving within a week of the birth is the closest thing available to being there.