No the opposite. Higher entropy means less chaos (energy in the system has dissipated, we are close to the death of the universe, close to equilibrium). Low entropy i.e. when we add more energy to the system it gets more chaotic.

From an information theory point of view, "entropy" is how much information the message contains. Higher entropy means the message contain more information and vice versa.

When thinking about this you have to take into account whether you are talking about the sender or the receiver of the message.

For example, let's say the sender sends the message with lots of information (high entropy from sender's point of view). Now the receiver gets the message. Does this made the things clearer (the message had high entropy to receive.) or more ambiguous (the message had low entropy to receive).