No. Carbon removes organic compounds from the water such as medication and tannins, but if left in too long can become saturated and begin leeching those substances out again. If you have a well-established bio filter, you don't need carbon unless you want to remove medications. I use it for that purpose and run it for a week or two, then remove it and throw it out.
When I can no more stir my soul to move, and life is but the ashes of a fire
When I can but remember that my heart once used to live and love, long and aspire
Oh, be thou then the first, the one thou art, be thou the calling, before all answering love
And in me wake hope, fear, boundless desire.