No, genetic recombination does not occur during anaphase I of meiosis. Genetic recombination, also known as crossing over, occurs during prophase I of meiosis, when homologous chromosomes pair up and exchange segments of genetic material.
During anaphase I, the homologous chromosomes are separated and pulled to opposite poles of the cell, but the actual exchange of genetic material has already occurred in the preceding prophase I stage. Therefore, while anaphase I is important for distributing the genetic material into daughter cells, it is not the stage at which recombination occurs.