No, and that would even be counterproductive. Carbon footprint is only one criterion among others (return, liquidity, taxation, investment horizon), and a very low-intensity investment is not necessarily the most useful for the transition. A reasonable approach: start with the heaviest lever (the life insurance euro fund), favour labelled or "Paris Aligned" versions during your next reallocations and maintain an overall view rather than seeking theoretical zero carbon.
Read the source article: Livret A, life insurance, PEA: what carbon footprint?