Further background information, should it make a difference. The cat is sitting on the addressee's lap. The speaker has his pet rat with him, so doesn't want the cat anywhere near.
うごかす【動かす】の意味 - 国語辞書 - goo辞書うごかす【動かす】
自分の目的にかなうよう人を行動させる。「思いのままに人を―・す」