No, you have the right to try, but whether or not that works out for you is another matter altogether.
The point is where you have to exercise that right. And in the case of an HOA, those are to choose BEFORE you buy into an area.
And after you buy, if you want to change it, you have the right to try and convince a majority to do so. But the point is, an HOA is neither pro no anti property rights necessarily. Good ones operate to protect property rights - bad ones infringe.