Should the question have been 'did Concorde kill the British aircraft industry'?
No, it didn't. It proved what the British industry was capable of when excellence was the goal, and before the accountants were let out of their box.
The US aircraft industry killed the British aircraft industry by producing aeroplanes down to a price instead of up to a standard, and matched to a researched market instead of to a technical ideal or the requirements of just one unique customer.