The answer is yes; your aquarium can work fine without top-fin filter. But it can be difficult to manage the aquarium properly, as these filters keep the water fresh and clean. For the aquarium to maintain good water quality and to improve oxygen levels, you’ll need a lot of real plants.
Be careful not to overcrowd the tank or choose fish species that produce a lot of waste, such as goldfish and plecos, as you’ll need to make sure the plants can support the aquarium’s bioload.