Ah, coconuts, mangoes, papayas and bananas...so common to grow in the tropics ...I do admire your goal Kevin. These trees/plants really require intense humidity, water and sunlight. Well, if your goal is not to have fruits, I guess it is worth trying to grow them just as ornamentals and see how far along they will survive. But the hot temps and corresponding humidity it needs to thrive will be a big issue. Growing them in ground is best. In containers it will be very thirsty. In the Philippines where I come from, they endure over 6 months of rain, and high temps ranging to lows of 78F and highs of 85F or much more. It will be too hard to replicate indoors, it will be too steamy to say the least.
It may be best to find other kinds of tropicals that are more indoor friendly.