Don't you think taking the high road can sometimes be perceived as cowardice or having been intimidated?

Say you have a conflict with someone and you no longer speak to them or wish to have anything to do with them. This person is instead talking bull to everyone else about you and indirectly taunting you, basically trying to establish some sort of dominance or superiority. If you decided to take the high road and act like an adult and completely ignore these attempts can’t that be seen as a sign of weekness or your inability to defend yourself?