Not necessarily, but the transfer is a signal worth reading carefully because it points in one of two directions and which one matters a great deal.
When an inmate gets into a fight, spends three weeks in the hole, and then gets transferred to a different facility, the move is almost always deliberate. Facilities do not transfer people after a fight without a reason, and there are two common ones.
The first is that he was the aggressor or a willing participant and the fight was serious enough to trigger a custody level increase. In that case the transfer is to a higher security facility, which is a direct consequence of the incident. A custody increase also typically comes with loss of good time credits, which does push the release date back. How much depends on what the Disciplinary Hearing Officer decided and how many credits he had accumulated. It does not automatically mean the maximum sentence, but losing good time is a real and concrete setback.
The second possibility is that he was the victim, or was caught in a situation where his safety in the original facility could no longer be guaranteed. In that case the transfer is protective, moving him somewhere he can safely return to general population without the same threat present. That kind of transfer does not carry the same disciplinary weight and would not affect his good time credits or push him toward a maximum sentence.
The way to tell which situation applies is to ask him directly and also to find out what his new custody level is. If he went up in security classification, the fight was likely treated as his fault or at a minimum a mutual participation. If his classification stayed the same or the new facility is comparable to the old one, the transfer was more likely protective.
Either way his good time credit balance is the number to watch, and his case manager at the new facility can tell him exactly where that stands.