In short, no. The destruction to the city of Carthage itself was immense and lasting and the pain inflicted upon the people of the city immeasurable, bit this was not generalized to a war against the Punic population as a whole. Many Punic cities had sided with Rome, and Punic culture continued strongly well into Late Antiquity.
Sort of a side question, was there an article or documentary about this recently? I feel like we have had a number of questions in the last couple months about genocide and the Third Punic War.
Follow up questions: what changed between the end of the second Punic war and the third Punic war that caused so much more 'heavy handedness'? Was the Roman army at the end of the 2nd Punic war capable of carrying out this type of long lasting seig on Carthage?