Yes, aquaponics can be used to grow fish that are not typically found in your region. Part of having an aquaponics system is ensuring that the space is cultivated to imitate their natural environments. Want to raise trout? Incorporate a chiller. Tilapia? Place a heater in the tank.
Bonus note: Plecostomus, a species of catfish, is a suckermouth fish that will help vacuum(eat) settable solids from the the fish tank floor and algae off of the fish tank window! Plus they coexist peacefully with just about every type of fresh water fish. Isn’t harmony what we’re all about?