I doesnt have anything to do with "you'd need a HUGE TALL tank". You're not gonna have a 1000' deep aquarium.
I'm sure it could be done, but the thousands to hundreds of thousands of dollars it'd take to purchase the equipment would keep most people away from this project. You'd need equipment to simulate the atmospheric pressure at 1000', which is sometimes like 400 times GREATER than at sea level.
Fish, living at those depths, cant just be brought to the surface. The pressure change would kill them long before they reached the surface.