There is a past discussion about keeping impatiens as houseplants:
I would add that you'll have to make sure to keep all the spent flowers picked off, so they don't inadvertently set seed ... although indoors in the winter, setting seed would be difficult, I think. If they were to set seed, though, the plants would die.
"Isn't it enough to see that a garden is beautiful without having to believe that there are fairies at the bottom of it too?" - Douglas Adams