Define some flag, that you can test:
function handleCollision(e:Event):void {
//Check if fishy is caught
if (!fishy_1_a.catched && ropeHit.hitTestObject(fishy_1_a)) {
//Change flag
fishy_1_a.catched = true;
trace("Gotcha!");
}
if (fishy_1_a.catched) {
stopFish1();
}else {
moveFish1();
}
}