There are some plants that under excellent lighting with good nutrition will grow quite fast. There are some fish that will nibble on plants but given other adequate food sources will only supplement their diet with plants.
Having said that, I'm not sure I'd put together an aquarium with those types of concerns. People who wanted heavily planted tanks look for fish who don't eat plants, while people who like fish that eat plants, leave plants out of the tank and provide a lot of vegetation in the diet in other ways.
I don't care for some of the less edible plants, but if you do (as has been suggested), that is a way to go.