I wouldn't simply because it is a Parrot.
Parrot fish are hybrids that have chemicals injected into the water to make certain fish crossbreed against their uninfluenced will. The baby parrot is born deformed, with an unclosable mouth(usually), and a deformed swim bladder (always). They are bred by the same people who inject dye into fish (including parrots).
Although I would say that buying one fish offline is a little economically inefficient. Shipping a with with water and a heat pad, for next day delivery, can be fairly pricey (considering how much water weighs too).
If I were you, I also wouldn't buy one from the local fish store, as this supports the dyed fish industry and just brings out more awful fish like Flowerhorns and Glofish(tm).
You could try investigating the natural parrot fish ( Hoplarchus psittac) if you want, but I do need to remind you that both forementioned parrots are or are similar to cichlids, and can turn nasty in your aquarium anytime they want.