Can fish have real live babies?

Yes.

They are viviparous fish, or livebearers.

Many fish lay eggs (they are oviparous species), and their young hatch from these, but some fish (viviparous species) produce babies (fry) that have already developed inside the mother's body. There are examples among the guppies and sWordtails.

Male seahorses accept eggs from females and incubate them in a brood pouch.