Does the property have the right to interfere with the fence and plants in the private garden of the community owner?

See if you're occupying a public area.

If it is a garden given by a developer when buying a house, you plant potted flowers in it, and the property has no right to manage it, unless vines climb to the second floor and the third floor, which affects the overall beauty of the building or is complained by neighbors upstairs.

If you occupy public areas and plant flowers privately, the property must have management rights.