No.
If you check your Roc's brain geneset, you will see that she has Normal gene and Genealogist. When you hover over those, you will notice that Normal gene has a Power of 70 and Genealogist a Power of 57. Now, if you bred your Roc with another pet that has Quickmind both dominant and recessive, the offspring will either get Normal or Genealogist from your female and Quickmind from the father. Quickmind only has a Power of 50 though (check List of Genes to see all genes' power), so even your weaker gene, Genealogist, would still dominate over Quickmind.
However, if you want to breed Counterstrike into your line, this is still the way to go. You want an offspring who has the Quickmind gene as recessive. When you breed this child with yet another pet with Quickmind, the goal is for this new baby to have Quickmind dominant and recessive.
The difficulty in all this is of course to also keep the Agile Paws as dominant gene in there, or you will still not get Counterstrike ability. This means you should breed your Roc to a male who already has both Agile Paws and Quickmind.
Welcome to the challenging world of breeding xD
If any of this sounded too confusing, please let me know which part and I will try to clarify.