I would expect so. Animals with bones certainly grow at a faster rate when juvenile, then completely stop growing upon maturity. But do fish? They don't have bones, but rather cartilage, so the growth profile may be different. My clowns are sexually mature but haven't stopped growing...they have certainly slowed down in growth. I got them as 1" babies, they must of hit 2" by 6 months, but I think they've slowed down now.
Almost all fish we keep have bones. Exceptions are sharks/rays/skates, sturgeon, paddlefish, and some i'm probably forgetting.
Fishes are in the indeterminate growth category, as apposed to humans that have determinate growth. They grow quickly when young, but then continue to grow slowly basically until death.