There are cases where the Supreme Court's decisions have been ignored.
For instance the "Trail of Tears" removal of Cherokee Nation residents to Oklahoma was preceded by a Supreme Court ruling which forbade the parcelling of Cherokee land by Georgia lottery. After the ruling President Jackson said regarding the Chief Justice, "John Marshall has made his decision; let him enforce it now if he can." That was the basic problem.. the Constitution was not explicitly set up with a view of having the Supreme Court interprete constitutional law, perhaps. But the powers were there, and were used fairly early in the history of the federal government (there was no equivalent under the Articles of Confederation). At the same time, to a certain degree the Supreme Court is a paper tiger. It has no real powers of enforcement, at all. President Jackson was aware of this.
There have been plenty of times where the Supreme Court was wrong, of course, or have reversed themselves from previous rulings. Their reversal on Jim Crow laws comes to mind.
So yes it is possible to override the constitution (or the Supreme Court's interpretation of it) calling something right or wrong. But it takes cajones and a massive amount of public support.